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Finding the Fourth Proportional to 15,422.96, 23,142.54 and 8,408

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Solution

The fourth proportional to 15,422.96, 23,142.54 and 8,408 is: 12,616.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,422.96 : 23,142.54 = 8,408 : x
  2. Step 2: Convert to fraction form
    15,422.96/23,142.54 = 8,408/x
  3. Step 3: Cross multiply
    15,422.96x = 23,142.54 × 8,408
  4. Step 4: Simplify right side
    15,422.96x = 194,582,476.32
  5. Step 5: Solve for x
    x = 194,582,476.32/15,422.96
  6. Step 6: Final answer
    x = 12,616.42

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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.