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Finding the Fourth Proportional to 2,089.92, 3,134.88 and 703

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Solution

The fourth proportional to 2,089.92, 3,134.88 and 703 is: 1,054.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.92 : 3,134.88 = 703 : x
  2. Step 2: Convert to fraction form
    2,089.92/3,134.88 = 703/x
  3. Step 3: Cross multiply
    2,089.92x = 3,134.88 × 703
  4. Step 4: Simplify right side
    2,089.92x = 2,203,820.64
  5. Step 5: Solve for x
    x = 2,203,820.64/2,089.92
  6. Step 6: Final answer
    x = 1,054.50

Related Problems

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Half scale
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Double scale
Find fourth proportional to 2,090.92, 3,136.38 and 704
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.