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Finding the Fourth Proportional to 28,391.30, 42,592.89 and 9,669.86

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Solution

The fourth proportional to 28,391.30, 42,592.89 and 9,669.86 is: 14,506.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,391.30 : 42,592.89 = 9,669.86 : x
  2. Step 2: Convert to fraction form
    28,391.30/42,592.89 = 9,669.86/x
  3. Step 3: Cross multiply
    28,391.30x = 42,592.89 × 9,669.86
  4. Step 4: Simplify right side
    28,391.30x = 411,867,283.30
  5. Step 5: Solve for x
    x = 411,867,283.30/28,391.30
  6. Step 6: Final answer
    x = 14,506.81

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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.