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Finding the Fourth Proportional to 8,694.88, 13,042.32 and 4,077.88

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Solution

The fourth proportional to 8,694.88, 13,042.32 and 4,077.88 is: 6,116.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,694.88 : 13,042.32 = 4,077.88 : x
  2. Step 2: Convert to fraction form
    8,694.88/13,042.32 = 4,077.88/x
  3. Step 3: Cross multiply
    8,694.88x = 13,042.32 × 4,077.88
  4. Step 4: Simplify right side
    8,694.88x = 53,184,930.28
  5. Step 5: Solve for x
    x = 53,184,930.28/8,694.88
  6. Step 6: Final answer
    x = 6,116.81

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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.