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Finding the Fourth Proportional to 28,191.72, 42,294 and 8,470.62

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Solution

The fourth proportional to 28,191.72, 42,294 and 8,470.62 is: 12,707.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,191.72 : 42,294 = 8,470.62 : x
  2. Step 2: Convert to fraction form
    28,191.72/42,294 = 8,470.62/x
  3. Step 3: Cross multiply
    28,191.72x = 42,294 × 8,470.62
  4. Step 4: Simplify right side
    28,191.72x = 358,256,402.28
  5. Step 5: Solve for x
    x = 358,256,402.28/28,191.72
  6. Step 6: Final answer
    x = 12,707.86

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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.