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Finding the Fourth Proportional to 38,456.40, 57,587.40 and 30,680.40

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Solution

The fourth proportional to 38,456.40, 57,587.40 and 30,680.40 is: 45,943.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,456.40 : 57,587.40 = 30,680.40 : x
  2. Step 2: Convert to fraction form
    38,456.40/57,587.40 = 30,680.40/x
  3. Step 3: Cross multiply
    38,456.40x = 57,587.40 × 30,680.40
  4. Step 4: Simplify right side
    38,456.40x = 1,766,804,466.96
  5. Step 5: Solve for x
    x = 1,766,804,466.96/38,456.40
  6. Step 6: Final answer
    x = 45,943.05

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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.