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Finding the Fourth Proportional to 3,091.47, 4,637.49 and 899.61

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Solution

The fourth proportional to 3,091.47, 4,637.49 and 899.61 is: 1,349.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,091.47 : 4,637.49 = 899.61 : x
  2. Step 2: Convert to fraction form
    3,091.47/4,637.49 = 899.61/x
  3. Step 3: Cross multiply
    3,091.47x = 4,637.49 × 899.61
  4. Step 4: Simplify right side
    3,091.47x = 4,171,932.38
  5. Step 5: Solve for x
    x = 4,171,932.38/3,091.47
  6. Step 6: Final answer
    x = 1,349.50

Related Problems

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Half scale
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Double scale
Find fourth proportional to 3,092.47, 4,638.99 and 900.61
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.