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Finding the Fourth Proportional to 38,267.92, 57,407.64 and 13,642

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Solution

The fourth proportional to 38,267.92, 57,407.64 and 13,642 is: 20,465.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,267.92 : 57,407.64 = 13,642 : x
  2. Step 2: Convert to fraction form
    38,267.92/57,407.64 = 13,642/x
  3. Step 3: Cross multiply
    38,267.92x = 57,407.64 × 13,642
  4. Step 4: Simplify right side
    38,267.92x = 783,155,024.88
  5. Step 5: Solve for x
    x = 783,155,024.88/38,267.92
  6. Step 6: Final answer
    x = 20,465.05

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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.