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Finding the Fourth Proportional to 8,342.82, 12,497.76 and 6,483.78

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Solution

The fourth proportional to 8,342.82, 12,497.76 and 6,483.78 is: 9,712.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,342.82 : 12,497.76 = 6,483.78 : x
  2. Step 2: Convert to fraction form
    8,342.82/12,497.76 = 6,483.78/x
  3. Step 3: Cross multiply
    8,342.82x = 12,497.76 × 6,483.78
  4. Step 4: Simplify right side
    8,342.82x = 81,032,726.33
  5. Step 5: Solve for x
    x = 81,032,726.33/8,342.82
  6. Step 6: Final answer
    x = 9,712.87

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1.5x scale

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.