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Finding the Fourth Proportional to 8,124.42, 12,179.79 and 7,402.26

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Solution

The fourth proportional to 8,124.42, 12,179.79 and 7,402.26 is: 11,097.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,124.42 : 12,179.79 = 7,402.26 : x
  2. Step 2: Convert to fraction form
    8,124.42/12,179.79 = 7,402.26/x
  3. Step 3: Cross multiply
    8,124.42x = 12,179.79 × 7,402.26
  4. Step 4: Simplify right side
    8,124.42x = 90,157,972.33
  5. Step 5: Solve for x
    x = 90,157,972.33/8,124.42
  6. Step 6: Final answer
    x = 11,097.16

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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.