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Finding the Fourth Proportional to 28,902.40, 43,359.90 and 16,428.40

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Solution

The fourth proportional to 28,902.40, 43,359.90 and 16,428.40 is: 24,646.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,902.40 : 43,359.90 = 16,428.40 : x
  2. Step 2: Convert to fraction form
    28,902.40/43,359.90 = 16,428.40/x
  3. Step 3: Cross multiply
    28,902.40x = 43,359.90 × 16,428.40
  4. Step 4: Simplify right side
    28,902.40x = 712,333,781.16
  5. Step 5: Solve for x
    x = 712,333,781.16/28,902.40
  6. Step 6: Final answer
    x = 24,646.18

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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.