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Finding the Fourth Proportional to 8,475.92, 12,712.20 and 6,842

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Solution

The fourth proportional to 8,475.92, 12,712.20 and 6,842 is: 10,261.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,475.92 : 12,712.20 = 6,842 : x
  2. Step 2: Convert to fraction form
    8,475.92/12,712.20 = 6,842/x
  3. Step 3: Cross multiply
    8,475.92x = 12,712.20 × 6,842
  4. Step 4: Simplify right side
    8,475.92x = 86,976,872.40
  5. Step 5: Solve for x
    x = 86,976,872.40/8,475.92
  6. Step 6: Final answer
    x = 10,261.64

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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.