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Finding the Fourth Proportional to 8,493.78, 12,731.48 and 4,105.20

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Solution

The fourth proportional to 8,493.78, 12,731.48 and 4,105.20 is: 6,153.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,493.78 : 12,731.48 = 4,105.20 : x
  2. Step 2: Convert to fraction form
    8,493.78/12,731.48 = 4,105.20/x
  3. Step 3: Cross multiply
    8,493.78x = 12,731.48 × 4,105.20
  4. Step 4: Simplify right side
    8,493.78x = 52,265,271.70
  5. Step 5: Solve for x
    x = 52,265,271.70/8,493.78
  6. Step 6: Final answer
    x = 6,153.36

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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.