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Finding the Fourth Proportional to 11,505.78, 15,874.38 and 6,469.20

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Solution

The fourth proportional to 11,505.78, 15,874.38 and 6,469.20 is: 8,925.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,505.78 : 15,874.38 = 6,469.20 : x
  2. Step 2: Convert to fraction form
    11,505.78/15,874.38 = 6,469.20/x
  3. Step 3: Cross multiply
    11,505.78x = 15,874.38 × 6,469.20
  4. Step 4: Simplify right side
    11,505.78x = 102,694,539.10
  5. Step 5: Solve for x
    x = 102,694,539.10/11,505.78
  6. Step 6: Final answer
    x = 8,925.47

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1.5x scale

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.