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Finding the Fourth Proportional to 8,511.70, 12,731.10 and 6,543.40

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Solution

The fourth proportional to 8,511.70, 12,731.10 and 6,543.40 is: 9,787.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,511.70 : 12,731.10 = 6,543.40 : x
  2. Step 2: Convert to fraction form
    8,511.70/12,731.10 = 6,543.40/x
  3. Step 3: Cross multiply
    8,511.70x = 12,731.10 × 6,543.40
  4. Step 4: Simplify right side
    8,511.70x = 83,304,679.74
  5. Step 5: Solve for x
    x = 83,304,679.74/8,511.70
  6. Step 6: Final answer
    x = 9,787.08

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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.