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Finding the Fourth Proportional to 12,597.27, 18,871.25 and 9,661.20

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Solution

The fourth proportional to 12,597.27, 18,871.25 and 9,661.20 is: 14,472.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,597.27 : 18,871.25 = 9,661.20 : x
  2. Step 2: Convert to fraction form
    12,597.27/18,871.25 = 9,661.20/x
  3. Step 3: Cross multiply
    12,597.27x = 18,871.25 × 9,661.20
  4. Step 4: Simplify right side
    12,597.27x = 182,318,872.19
  5. Step 5: Solve for x
    x = 182,318,872.19/12,597.27
  6. Step 6: Final answer
    x = 14,472.89

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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.