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Finding the Fourth Proportional to 42,915.44, 64,373.16 and 15,194

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Solution

The fourth proportional to 42,915.44, 64,373.16 and 15,194 is: 22,791

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,915.44 : 64,373.16 = 15,194 : x
  2. Step 2: Convert to fraction form
    42,915.44/64,373.16 = 15,194/x
  3. Step 3: Cross multiply
    42,915.44x = 64,373.16 × 15,194
  4. Step 4: Simplify right side
    42,915.44x = 978,085,793.04
  5. Step 5: Solve for x
    x = 978,085,793.04/42,915.44
  6. Step 6: Final answer
    x = 22,791

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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.