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Finding the Fourth Proportional to 10,569, 15,853.74 and 3,998.28

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Solution

The fourth proportional to 10,569, 15,853.74 and 3,998.28 is: 5,997.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,569 : 15,853.74 = 3,998.28 : x
  2. Step 2: Convert to fraction form
    10,569/15,853.74 = 3,998.28/x
  3. Step 3: Cross multiply
    10,569x = 15,853.74 × 3,998.28
  4. Step 4: Simplify right side
    10,569x = 63,387,691.57
  5. Step 5: Solve for x
    x = 63,387,691.57/10,569
  6. Step 6: Final answer
    x = 5,997.51

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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.