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Finding the Fourth Proportional to 8,488.52, 11,714.11 and 4,711.72

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Solution

The fourth proportional to 8,488.52, 11,714.11 and 4,711.72 is: 6,502.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,488.52 : 11,714.11 = 4,711.72 : x
  2. Step 2: Convert to fraction form
    8,488.52/11,714.11 = 4,711.72/x
  3. Step 3: Cross multiply
    8,488.52x = 11,714.11 × 4,711.72
  4. Step 4: Simplify right side
    8,488.52x = 55,193,606.37
  5. Step 5: Solve for x
    x = 55,193,606.37/8,488.52
  6. Step 6: Final answer
    x = 6,502.15

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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.