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Finding the Fourth Proportional to 19,306.40, 28,916.40 and 14,909.60

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Solution

The fourth proportional to 19,306.40, 28,916.40 and 14,909.60 is: 22,331.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,306.40 : 28,916.40 = 14,909.60 : x
  2. Step 2: Convert to fraction form
    19,306.40/28,916.40 = 14,909.60/x
  3. Step 3: Cross multiply
    19,306.40x = 28,916.40 × 14,909.60
  4. Step 4: Simplify right side
    19,306.40x = 431,131,957.44
  5. Step 5: Solve for x
    x = 431,131,957.44/19,306.40
  6. Step 6: Final answer
    x = 22,331.04

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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.