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Finding the Fourth Proportional to 38,507.60, 57,761.40 and 12,214.40

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Solution

The fourth proportional to 38,507.60, 57,761.40 and 12,214.40 is: 18,321.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,507.60 : 57,761.40 = 12,214.40 : x
  2. Step 2: Convert to fraction form
    38,507.60/57,761.40 = 12,214.40/x
  3. Step 3: Cross multiply
    38,507.60x = 57,761.40 × 12,214.40
  4. Step 4: Simplify right side
    38,507.60x = 705,520,844.16
  5. Step 5: Solve for x
    x = 705,520,844.16/38,507.60
  6. Step 6: Final answer
    x = 18,321.60

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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.