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Finding the Fourth Proportional to 15,474, 21,354.23 and 8,400.48

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Solution

The fourth proportional to 15,474, 21,354.23 and 8,400.48 is: 11,592.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,474 : 21,354.23 = 8,400.48 : x
  2. Step 2: Convert to fraction form
    15,474/21,354.23 = 8,400.48/x
  3. Step 3: Cross multiply
    15,474x = 21,354.23 × 8,400.48
  4. Step 4: Simplify right side
    15,474x = 179,385,782.03
  5. Step 5: Solve for x
    x = 179,385,782.03/15,474
  6. Step 6: Final answer
    x = 11,592.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.