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Finding the Fourth Proportional to 47,640, 71,492.76 and 16,475.28

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Solution

The fourth proportional to 47,640, 71,492.76 and 16,475.28 is: 24,724.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,640 : 71,492.76 = 16,475.28 : x
  2. Step 2: Convert to fraction form
    47,640/71,492.76 = 16,475.28/x
  3. Step 3: Cross multiply
    47,640x = 71,492.76 × 16,475.28
  4. Step 4: Simplify right side
    47,640x = 1,177,863,238.97
  5. Step 5: Solve for x
    x = 1,177,863,238.97/47,640
  6. Step 6: Final answer
    x = 24,724.25

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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.