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Finding the Fourth Proportional to 13,132.80, 18,123.40 and 7,164.40

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Solution

The fourth proportional to 13,132.80, 18,123.40 and 7,164.40 is: 9,886.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,132.80 : 18,123.40 = 7,164.40 : x
  2. Step 2: Convert to fraction form
    13,132.80/18,123.40 = 7,164.40/x
  3. Step 3: Cross multiply
    13,132.80x = 18,123.40 × 7,164.40
  4. Step 4: Simplify right side
    13,132.80x = 129,843,286.96
  5. Step 5: Solve for x
    x = 129,843,286.96/13,132.80
  6. Step 6: Final answer
    x = 9,886.95

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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.