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Finding the Fourth Proportional to 3,477.12, 5,215.68 and 844.61

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Solution

The fourth proportional to 3,477.12, 5,215.68 and 844.61 is: 1,266.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,477.12 : 5,215.68 = 844.61 : x
  2. Step 2: Convert to fraction form
    3,477.12/5,215.68 = 844.61/x
  3. Step 3: Cross multiply
    3,477.12x = 5,215.68 × 844.61
  4. Step 4: Simplify right side
    3,477.12x = 4,405,192.76
  5. Step 5: Solve for x
    x = 4,405,192.76/3,477.12
  6. Step 6: Final answer
    x = 1,266.91

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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.