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Finding the Fourth Proportional to 11,275.60, 16,902 and 5,429.02

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Solution

The fourth proportional to 11,275.60, 16,902 and 5,429.02 is: 8,138.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,275.60 : 16,902 = 5,429.02 : x
  2. Step 2: Convert to fraction form
    11,275.60/16,902 = 5,429.02/x
  3. Step 3: Cross multiply
    11,275.60x = 16,902 × 5,429.02
  4. Step 4: Simplify right side
    11,275.60x = 91,761,296.04
  5. Step 5: Solve for x
    x = 91,761,296.04/11,275.60
  6. Step 6: Final answer
    x = 8,138.04

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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.