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Finding the Fourth Proportional to 39,863, 59,820.42 and 15,239

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Solution

The fourth proportional to 39,863, 59,820.42 and 15,239 is: 22,868.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,863 : 59,820.42 = 15,239 : x
  2. Step 2: Convert to fraction form
    39,863/59,820.42 = 15,239/x
  3. Step 3: Cross multiply
    39,863x = 59,820.42 × 15,239
  4. Step 4: Simplify right side
    39,863x = 911,603,380.38
  5. Step 5: Solve for x
    x = 911,603,380.38/39,863
  6. Step 6: Final answer
    x = 22,868.41

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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.