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Finding the Fourth Proportional to 12,257.71, 18,330.06 and 9,101.14

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Solution

The fourth proportional to 12,257.71, 18,330.06 and 9,101.14 is: 13,609.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,257.71 : 18,330.06 = 9,101.14 : x
  2. Step 2: Convert to fraction form
    12,257.71/18,330.06 = 9,101.14/x
  3. Step 3: Cross multiply
    12,257.71x = 18,330.06 × 9,101.14
  4. Step 4: Simplify right side
    12,257.71x = 166,824,442.27
  5. Step 5: Solve for x
    x = 166,824,442.27/12,257.71
  6. Step 6: Final answer
    x = 13,609.76

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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.