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Finding the Fourth Proportional to 8,257.43, 12,377.94 and 4,743.20

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Solution

The fourth proportional to 8,257.43, 12,377.94 and 4,743.20 is: 7,110.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,257.43 : 12,377.94 = 4,743.20 : x
  2. Step 2: Convert to fraction form
    8,257.43/12,377.94 = 4,743.20/x
  3. Step 3: Cross multiply
    8,257.43x = 12,377.94 × 4,743.20
  4. Step 4: Simplify right side
    8,257.43x = 58,710,983.12
  5. Step 5: Solve for x
    x = 58,710,983.12/8,257.43
  6. Step 6: Final answer
    x = 7,110.08

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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.