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Finding the Fourth Proportional to 8,634, 12,952.56 and 5,714.72

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Solution

The fourth proportional to 8,634, 12,952.56 and 5,714.72 is: 8,573.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,634 : 12,952.56 = 5,714.72 : x
  2. Step 2: Convert to fraction form
    8,634/12,952.56 = 5,714.72/x
  3. Step 3: Cross multiply
    8,634x = 12,952.56 × 5,714.72
  4. Step 4: Simplify right side
    8,634x = 74,020,253.68
  5. Step 5: Solve for x
    x = 74,020,253.68/8,634
  6. Step 6: Final answer
    x = 8,573.11

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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.