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Finding the Fourth Proportional to 8,711.52, 13,062.36 and 2,866.56

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Solution

The fourth proportional to 8,711.52, 13,062.36 and 2,866.56 is: 4,298.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,711.52 : 13,062.36 = 2,866.56 : x
  2. Step 2: Convert to fraction form
    8,711.52/13,062.36 = 2,866.56/x
  3. Step 3: Cross multiply
    8,711.52x = 13,062.36 × 2,866.56
  4. Step 4: Simplify right side
    8,711.52x = 37,444,038.68
  5. Step 5: Solve for x
    x = 37,444,038.68/8,711.52
  6. Step 6: Final answer
    x = 4,298.22

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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.