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Finding the Fourth Proportional to 8,237.72, 12,342 and 6,842.90

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Solution

The fourth proportional to 8,237.72, 12,342 and 6,842.90 is: 10,252.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,237.72 : 12,342 = 6,842.90 : x
  2. Step 2: Convert to fraction form
    8,237.72/12,342 = 6,842.90/x
  3. Step 3: Cross multiply
    8,237.72x = 12,342 × 6,842.90
  4. Step 4: Simplify right side
    8,237.72x = 84,455,071.80
  5. Step 5: Solve for x
    x = 84,455,071.80/8,237.72
  6. Step 6: Final answer
    x = 10,252.24

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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.