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Finding the Fourth Proportional to 9,257.87, 12,781.82 and 8,261.43

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Solution

The fourth proportional to 9,257.87, 12,781.82 and 8,261.43 is: 11,406.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,257.87 : 12,781.82 = 8,261.43 : x
  2. Step 2: Convert to fraction form
    9,257.87/12,781.82 = 8,261.43/x
  3. Step 3: Cross multiply
    9,257.87x = 12,781.82 × 8,261.43
  4. Step 4: Simplify right side
    9,257.87x = 105,596,143.16
  5. Step 5: Solve for x
    x = 105,596,143.16/9,257.87
  6. Step 6: Final answer
    x = 11,406.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.