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Finding the Fourth Proportional to 15,980, 23,969.12 and 6,118.52

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Solution

The fourth proportional to 15,980, 23,969.12 and 6,118.52 is: 9,177.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,980 : 23,969.12 = 6,118.52 : x
  2. Step 2: Convert to fraction form
    15,980/23,969.12 = 6,118.52/x
  3. Step 3: Cross multiply
    15,980x = 23,969.12 × 6,118.52
  4. Step 4: Simplify right side
    15,980x = 146,655,540.10
  5. Step 5: Solve for x
    x = 146,655,540.10/15,980
  6. Step 6: Final answer
    x = 9,177.44

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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.