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Finding the Fourth Proportional to 15,524.78, 21,424.19 and 8,451.20

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Solution

The fourth proportional to 15,524.78, 21,424.19 and 8,451.20 is: 11,662.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,524.78 : 21,424.19 = 8,451.20 : x
  2. Step 2: Convert to fraction form
    15,524.78/21,424.19 = 8,451.20/x
  3. Step 3: Cross multiply
    15,524.78x = 21,424.19 × 8,451.20
  4. Step 4: Simplify right side
    15,524.78x = 181,059,965.15
  5. Step 5: Solve for x
    x = 181,059,965.15/15,524.78
  6. Step 6: Final answer
    x = 11,662.65

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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.