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Finding the Fourth Proportional to 8,119.68, 12,174.12 and 2,924.88

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Solution

The fourth proportional to 8,119.68, 12,174.12 and 2,924.88 is: 4,385.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,119.68 : 12,174.12 = 2,924.88 : x
  2. Step 2: Convert to fraction form
    8,119.68/12,174.12 = 2,924.88/x
  3. Step 3: Cross multiply
    8,119.68x = 12,174.12 × 2,924.88
  4. Step 4: Simplify right side
    8,119.68x = 35,607,840.11
  5. Step 5: Solve for x
    x = 35,607,840.11/8,119.68
  6. Step 6: Final answer
    x = 4,385.37

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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.