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Finding the Fourth Proportional to 18,976, 28,464 and 5,125

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Solution

The fourth proportional to 18,976, 28,464 and 5,125 is: 7,687.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,976 : 28,464 = 5,125 : x
  2. Step 2: Convert to fraction form
    18,976/28,464 = 5,125/x
  3. Step 3: Cross multiply
    18,976x = 28,464 × 5,125
  4. Step 4: Simplify right side
    18,976x = 145,878,000
  5. Step 5: Solve for x
    x = 145,878,000/18,976
  6. Step 6: Final answer
    x = 7,687.50

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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.