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Finding the Fourth Proportional to 15,400, 23,103.84 and 4,456

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Solution

The fourth proportional to 15,400, 23,103.84 and 4,456 is: 6,685.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,400 : 23,103.84 = 4,456 : x
  2. Step 2: Convert to fraction form
    15,400/23,103.84 = 4,456/x
  3. Step 3: Cross multiply
    15,400x = 23,103.84 × 4,456
  4. Step 4: Simplify right side
    15,400x = 102,950,711.04
  5. Step 5: Solve for x
    x = 102,950,711.04/15,400
  6. Step 6: Final answer
    x = 6,685.11

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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.