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Finding the Fourth Proportional to 28,286.30, 42,434.92 and 9,569.39

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Solution

The fourth proportional to 28,286.30, 42,434.92 and 9,569.39 is: 14,355.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,286.30 : 42,434.92 = 9,569.39 : x
  2. Step 2: Convert to fraction form
    28,286.30/42,434.92 = 9,569.39/x
  3. Step 3: Cross multiply
    28,286.30x = 42,434.92 × 9,569.39
  4. Step 4: Simplify right side
    28,286.30x = 406,076,098.89
  5. Step 5: Solve for x
    x = 406,076,098.89/28,286.30
  6. Step 6: Final answer
    x = 14,355.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.