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Finding the Fourth Proportional to 8,901.92, 12,276.96 and 7,580

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Solution

The fourth proportional to 8,901.92, 12,276.96 and 7,580 is: 10,453.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,901.92 : 12,276.96 = 7,580 : x
  2. Step 2: Convert to fraction form
    8,901.92/12,276.96 = 7,580/x
  3. Step 3: Cross multiply
    8,901.92x = 12,276.96 × 7,580
  4. Step 4: Simplify right side
    8,901.92x = 93,059,356.80
  5. Step 5: Solve for x
    x = 93,059,356.80/8,901.92
  6. Step 6: Final answer
    x = 10,453.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.