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Finding the Fourth Proportional to 8,959.32, 13,428 and 6,761.16

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Solution

The fourth proportional to 8,959.32, 13,428 and 6,761.16 is: 10,133.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,959.32 : 13,428 = 6,761.16 : x
  2. Step 2: Convert to fraction form
    8,959.32/13,428 = 6,761.16/x
  3. Step 3: Cross multiply
    8,959.32x = 13,428 × 6,761.16
  4. Step 4: Simplify right side
    8,959.32x = 90,788,856.48
  5. Step 5: Solve for x
    x = 90,788,856.48/8,959.32
  6. Step 6: Final answer
    x = 10,133.45

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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.