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Finding the Fourth Proportional to 8,006.31, 11,047.17 and 6,815.76

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Solution

The fourth proportional to 8,006.31, 11,047.17 and 6,815.76 is: 9,404.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,006.31 : 11,047.17 = 6,815.76 : x
  2. Step 2: Convert to fraction form
    8,006.31/11,047.17 = 6,815.76/x
  3. Step 3: Cross multiply
    8,006.31x = 11,047.17 × 6,815.76
  4. Step 4: Simplify right side
    8,006.31x = 75,294,859.40
  5. Step 5: Solve for x
    x = 75,294,859.40/8,006.31
  6. Step 6: Final answer
    x = 9,404.44

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1.5x scale

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.