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Finding the Fourth Proportional to 8,537.70, 12,805.62 and 2,691.12

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Solution

The fourth proportional to 8,537.70, 12,805.62 and 2,691.12 is: 4,036.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,537.70 : 12,805.62 = 2,691.12 : x
  2. Step 2: Convert to fraction form
    8,537.70/12,805.62 = 2,691.12/x
  3. Step 3: Cross multiply
    8,537.70x = 12,805.62 × 2,691.12
  4. Step 4: Simplify right side
    8,537.70x = 34,461,460.09
  5. Step 5: Solve for x
    x = 34,461,460.09/8,537.70
  6. Step 6: Final answer
    x = 4,036.39

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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.