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Finding the Fourth Proportional to 38,494.30, 57,712.65 and 20,983.90

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Solution

The fourth proportional to 38,494.30, 57,712.65 and 20,983.90 is: 31,460.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,494.30 : 57,712.65 = 20,983.90 : x
  2. Step 2: Convert to fraction form
    38,494.30/57,712.65 = 20,983.90/x
  3. Step 3: Cross multiply
    38,494.30x = 57,712.65 × 20,983.90
  4. Step 4: Simplify right side
    38,494.30x = 1,211,036,476.34
  5. Step 5: Solve for x
    x = 1,211,036,476.34/38,494.30
  6. Step 6: Final answer
    x = 31,460.15

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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.