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Finding the Fourth Proportional to 38,497.40, 57,794.70 and 20,742.20

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Solution

The fourth proportional to 38,497.40, 57,794.70 and 20,742.20 is: 31,139.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,497.40 : 57,794.70 = 20,742.20 : x
  2. Step 2: Convert to fraction form
    38,497.40/57,794.70 = 20,742.20/x
  3. Step 3: Cross multiply
    38,497.40x = 57,794.70 × 20,742.20
  4. Step 4: Simplify right side
    38,497.40x = 1,198,789,226.34
  5. Step 5: Solve for x
    x = 1,198,789,226.34/38,497.40
  6. Step 6: Final answer
    x = 31,139.49

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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.