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Finding the Fourth Proportional to 15,524, 21,423.12 and 8,450.54

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Solution

The fourth proportional to 15,524, 21,423.12 and 8,450.54 is: 11,661.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,524 : 21,423.12 = 8,450.54 : x
  2. Step 2: Convert to fraction form
    15,524/21,423.12 = 8,450.54/x
  3. Step 3: Cross multiply
    15,524x = 21,423.12 × 8,450.54
  4. Step 4: Simplify right side
    15,524x = 181,036,932.48
  5. Step 5: Solve for x
    x = 181,036,932.48/15,524
  6. Step 6: Final answer
    x = 11,661.75

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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.