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Finding the Fourth Proportional to 9,257.68, 12,781.56 and 8,261.25

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Solution

The fourth proportional to 9,257.68, 12,781.56 and 8,261.25 is: 11,405.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,257.68 : 12,781.56 = 8,261.25 : x
  2. Step 2: Convert to fraction form
    9,257.68/12,781.56 = 8,261.25/x
  3. Step 3: Cross multiply
    9,257.68x = 12,781.56 × 8,261.25
  4. Step 4: Simplify right side
    9,257.68x = 105,591,662.55
  5. Step 5: Solve for x
    x = 105,591,662.55/9,257.68
  6. Step 6: Final answer
    x = 11,405.84

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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.