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Finding the Fourth Proportional to 8,531.72, 12,797.66 and 8,350.28

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Solution

The fourth proportional to 8,531.72, 12,797.66 and 8,350.28 is: 12,525.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,531.72 : 12,797.66 = 8,350.28 : x
  2. Step 2: Convert to fraction form
    8,531.72/12,797.66 = 8,350.28/x
  3. Step 3: Cross multiply
    8,531.72x = 12,797.66 × 8,350.28
  4. Step 4: Simplify right side
    8,531.72x = 106,864,044.34
  5. Step 5: Solve for x
    x = 106,864,044.34/8,531.72
  6. Step 6: Final answer
    x = 12,525.50

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1.5x scale

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.