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Finding the Fourth Proportional to 8,661.52, 12,994.20 and 4,042

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Solution

The fourth proportional to 8,661.52, 12,994.20 and 4,042 is: 6,063.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,661.52 : 12,994.20 = 4,042 : x
  2. Step 2: Convert to fraction form
    8,661.52/12,994.20 = 4,042/x
  3. Step 3: Cross multiply
    8,661.52x = 12,994.20 × 4,042
  4. Step 4: Simplify right side
    8,661.52x = 52,522,556.40
  5. Step 5: Solve for x
    x = 52,522,556.40/8,661.52
  6. Step 6: Final answer
    x = 6,063.90

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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.