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Finding the Fourth Proportional to 9,257.62, 12,781.47 and 8,261.18

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Solution

The fourth proportional to 9,257.62, 12,781.47 and 8,261.18 is: 11,405.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,257.62 : 12,781.47 = 8,261.18 : x
  2. Step 2: Convert to fraction form
    9,257.62/12,781.47 = 8,261.18/x
  3. Step 3: Cross multiply
    9,257.62x = 12,781.47 × 8,261.18
  4. Step 4: Simplify right side
    9,257.62x = 105,590,087.27
  5. Step 5: Solve for x
    x = 105,590,087.27/9,257.62
  6. Step 6: Final answer
    x = 11,405.75

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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.