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Finding the Fourth Proportional to 8,721.20, 13,057.16 and 8,032.28

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Solution

The fourth proportional to 8,721.20, 13,057.16 and 8,032.28 is: 12,025.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,721.20 : 13,057.16 = 8,032.28 : x
  2. Step 2: Convert to fraction form
    8,721.20/13,057.16 = 8,032.28/x
  3. Step 3: Cross multiply
    8,721.20x = 13,057.16 × 8,032.28
  4. Step 4: Simplify right side
    8,721.20x = 104,878,765.12
  5. Step 5: Solve for x
    x = 104,878,765.12/8,721.20
  6. Step 6: Final answer
    x = 12,025.73

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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.