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Finding the Fourth Proportional to 15,978.40, 23,971.20 and 9,401.20

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Solution

The fourth proportional to 15,978.40, 23,971.20 and 9,401.20 is: 14,103.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,978.40 : 23,971.20 = 9,401.20 : x
  2. Step 2: Convert to fraction form
    15,978.40/23,971.20 = 9,401.20/x
  3. Step 3: Cross multiply
    15,978.40x = 23,971.20 × 9,401.20
  4. Step 4: Simplify right side
    15,978.40x = 225,358,045.44
  5. Step 5: Solve for x
    x = 225,358,045.44/15,978.40
  6. Step 6: Final answer
    x = 14,103.92

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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.