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Finding the Fourth Proportional to 8,512.80, 12,772.80 and 5,395.20

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Solution

The fourth proportional to 8,512.80, 12,772.80 and 5,395.20 is: 8,095.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,512.80 : 12,772.80 = 5,395.20 : x
  2. Step 2: Convert to fraction form
    8,512.80/12,772.80 = 5,395.20/x
  3. Step 3: Cross multiply
    8,512.80x = 12,772.80 × 5,395.20
  4. Step 4: Simplify right side
    8,512.80x = 68,911,810.56
  5. Step 5: Solve for x
    x = 68,911,810.56/8,512.80
  6. Step 6: Final answer
    x = 8,095.08

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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.