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Finding the Fourth Proportional to 38,314, 57,415.36 and 27,242.92

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Solution

The fourth proportional to 38,314, 57,415.36 and 27,242.92 is: 40,824.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,314 : 57,415.36 = 27,242.92 : x
  2. Step 2: Convert to fraction form
    38,314/57,415.36 = 27,242.92/x
  3. Step 3: Cross multiply
    38,314x = 57,415.36 × 27,242.92
  4. Step 4: Simplify right side
    38,314x = 1,564,162,059.25
  5. Step 5: Solve for x
    x = 1,564,162,059.25/38,314
  6. Step 6: Final answer
    x = 40,824.82

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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.