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Finding the Fourth Proportional to 38,489.30, 57,705.15 and 20,978.90

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Solution

The fourth proportional to 38,489.30, 57,705.15 and 20,978.90 is: 31,452.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,489.30 : 57,705.15 = 20,978.90 : x
  2. Step 2: Convert to fraction form
    38,489.30/57,705.15 = 20,978.90/x
  3. Step 3: Cross multiply
    38,489.30x = 57,705.15 × 20,978.90
  4. Step 4: Simplify right side
    38,489.30x = 1,210,590,571.34
  5. Step 5: Solve for x
    x = 1,210,590,571.34/38,489.30
  6. Step 6: Final answer
    x = 31,452.65

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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.