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Finding the Fourth Proportional to 8,482.43, 12,724.97 and 4,100.19

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Solution

The fourth proportional to 8,482.43, 12,724.97 and 4,100.19 is: 6,150.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,482.43 : 12,724.97 = 4,100.19 : x
  2. Step 2: Convert to fraction form
    8,482.43/12,724.97 = 4,100.19/x
  3. Step 3: Cross multiply
    8,482.43x = 12,724.97 × 4,100.19
  4. Step 4: Simplify right side
    8,482.43x = 52,174,774.24
  5. Step 5: Solve for x
    x = 52,174,774.24/8,482.43
  6. Step 6: Final answer
    x = 6,150.93

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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.