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Finding the Fourth Proportional to 15,891.50, 23,808.20 and 7,442.51

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Solution

The fourth proportional to 15,891.50, 23,808.20 and 7,442.51 is: 11,150.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,891.50 : 23,808.20 = 7,442.51 : x
  2. Step 2: Convert to fraction form
    15,891.50/23,808.20 = 7,442.51/x
  3. Step 3: Cross multiply
    15,891.50x = 23,808.20 × 7,442.51
  4. Step 4: Simplify right side
    15,891.50x = 177,192,610.33
  5. Step 5: Solve for x
    x = 177,192,610.33/15,891.50
  6. Step 6: Final answer
    x = 11,150.15

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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.