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Finding the Fourth Proportional to 9,281.17, 12,737 and 9,215.56

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Solution

The fourth proportional to 9,281.17, 12,737 and 9,215.56 is: 12,646.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,281.17 : 12,737 = 9,215.56 : x
  2. Step 2: Convert to fraction form
    9,281.17/12,737 = 9,215.56/x
  3. Step 3: Cross multiply
    9,281.17x = 12,737 × 9,215.56
  4. Step 4: Simplify right side
    9,281.17x = 117,378,587.72
  5. Step 5: Solve for x
    x = 117,378,587.72/9,281.17
  6. Step 6: Final answer
    x = 12,646.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.