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Finding the Fourth Proportional to 7,152.10, 9,869.85 and 4,008.29

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Solution

The fourth proportional to 7,152.10, 9,869.85 and 4,008.29 is: 5,531.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,152.10 : 9,869.85 = 4,008.29 : x
  2. Step 2: Convert to fraction form
    7,152.10/9,869.85 = 4,008.29/x
  3. Step 3: Cross multiply
    7,152.10x = 9,869.85 × 4,008.29
  4. Step 4: Simplify right side
    7,152.10x = 39,561,171.71
  5. Step 5: Solve for x
    x = 39,561,171.71/7,152.10
  6. Step 6: Final answer
    x = 5,531.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.