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Finding the Fourth Proportional to 38,782.40, 58,029.60 and 28,414.40

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Solution

The fourth proportional to 38,782.40, 58,029.60 and 28,414.40 is: 42,516.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,782.40 : 58,029.60 = 28,414.40 : x
  2. Step 2: Convert to fraction form
    38,782.40/58,029.60 = 28,414.40/x
  3. Step 3: Cross multiply
    38,782.40x = 58,029.60 × 28,414.40
  4. Step 4: Simplify right side
    38,782.40x = 1,648,876,266.24
  5. Step 5: Solve for x
    x = 1,648,876,266.24/38,782.40
  6. Step 6: Final answer
    x = 42,516.10

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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.