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Finding the Fourth Proportional to 3,253.42, 4,876.42 and 1,378.14

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Solution

The fourth proportional to 3,253.42, 4,876.42 and 1,378.14 is: 2,065.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,253.42 : 4,876.42 = 1,378.14 : x
  2. Step 2: Convert to fraction form
    3,253.42/4,876.42 = 1,378.14/x
  3. Step 3: Cross multiply
    3,253.42x = 4,876.42 × 1,378.14
  4. Step 4: Simplify right side
    3,253.42x = 6,720,389.46
  5. Step 5: Solve for x
    x = 6,720,389.46/3,253.42
  6. Step 6: Final answer
    x = 2,065.64

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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.