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Finding the Fourth Proportional to 8,633.62, 12,972.31 and 8,053.15

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Solution

The fourth proportional to 8,633.62, 12,972.31 and 8,053.15 is: 12,100.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,633.62 : 12,972.31 = 8,053.15 : x
  2. Step 2: Convert to fraction form
    8,633.62/12,972.31 = 8,053.15/x
  3. Step 3: Cross multiply
    8,633.62x = 12,972.31 × 8,053.15
  4. Step 4: Simplify right side
    8,633.62x = 104,467,958.28
  5. Step 5: Solve for x
    x = 104,467,958.28/8,633.62
  6. Step 6: Final answer
    x = 12,100.13

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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.