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Finding the Fourth Proportional to 3,674, 5,074.44 and 2,429.84

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Solution

The fourth proportional to 3,674, 5,074.44 and 2,429.84 is: 3,356.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,674 : 5,074.44 = 2,429.84 : x
  2. Step 2: Convert to fraction form
    3,674/5,074.44 = 2,429.84/x
  3. Step 3: Cross multiply
    3,674x = 5,074.44 × 2,429.84
  4. Step 4: Simplify right side
    3,674x = 12,330,077.29
  5. Step 5: Solve for x
    x = 12,330,077.29/3,674
  6. Step 6: Final answer
    x = 3,356.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.