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Finding the Fourth Proportional to 15,978.18, 23,956.89 and 6,615.66

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Solution

The fourth proportional to 15,978.18, 23,956.89 and 6,615.66 is: 9,919.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,978.18 : 23,956.89 = 6,615.66 : x
  2. Step 2: Convert to fraction form
    15,978.18/23,956.89 = 6,615.66/x
  3. Step 3: Cross multiply
    15,978.18x = 23,956.89 × 6,615.66
  4. Step 4: Simplify right side
    15,978.18x = 158,490,638.90
  5. Step 5: Solve for x
    x = 158,490,638.90/15,978.18
  6. Step 6: Final answer
    x = 9,919.19

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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.