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Finding the Fourth Proportional to 38,657.40, 57,986.10 and 30,881.40

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Solution

The fourth proportional to 38,657.40, 57,986.10 and 30,881.40 is: 46,322.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,657.40 : 57,986.10 = 30,881.40 : x
  2. Step 2: Convert to fraction form
    38,657.40/57,986.10 = 30,881.40/x
  3. Step 3: Cross multiply
    38,657.40x = 57,986.10 × 30,881.40
  4. Step 4: Simplify right side
    38,657.40x = 1,790,691,948.54
  5. Step 5: Solve for x
    x = 1,790,691,948.54/38,657.40
  6. Step 6: Final answer
    x = 46,322.10

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Similar ratio
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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.