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Finding the Fourth Proportional to 12,314.40, 18,452.70 and 9,179.70

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Solution

The fourth proportional to 12,314.40, 18,452.70 and 9,179.70 is: 13,755.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,314.40 : 18,452.70 = 9,179.70 : x
  2. Step 2: Convert to fraction form
    12,314.40/18,452.70 = 9,179.70/x
  3. Step 3: Cross multiply
    12,314.40x = 18,452.70 × 9,179.70
  4. Step 4: Simplify right side
    12,314.40x = 169,390,250.19
  5. Step 5: Solve for x
    x = 169,390,250.19/12,314.40
  6. Step 6: Final answer
    x = 13,755.46

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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.