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Finding the Fourth Proportional to 47,840, 71,760 and 15,008

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Solution

The fourth proportional to 47,840, 71,760 and 15,008 is: 22,512

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,840 : 71,760 = 15,008 : x
  2. Step 2: Convert to fraction form
    47,840/71,760 = 15,008/x
  3. Step 3: Cross multiply
    47,840x = 71,760 × 15,008
  4. Step 4: Simplify right side
    47,840x = 1,076,974,080
  5. Step 5: Solve for x
    x = 1,076,974,080/47,840
  6. Step 6: Final answer
    x = 22,512

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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.