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Finding the Fourth Proportional to 2,679.66, 4,019.97 and 924.85

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Solution

The fourth proportional to 2,679.66, 4,019.97 and 924.85 is: 1,387.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,679.66 : 4,019.97 = 924.85 : x
  2. Step 2: Convert to fraction form
    2,679.66/4,019.97 = 924.85/x
  3. Step 3: Cross multiply
    2,679.66x = 4,019.97 × 924.85
  4. Step 4: Simplify right side
    2,679.66x = 3,717,869.25
  5. Step 5: Solve for x
    x = 3,717,869.25/2,679.66
  6. Step 6: Final answer
    x = 1,387.44

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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.