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Finding the Fourth Proportional to 2,856.38, 3,942.34 and 1,614.38

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Solution

The fourth proportional to 2,856.38, 3,942.34 and 1,614.38 is: 2,228.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.38 : 3,942.34 = 1,614.38 : x
  2. Step 2: Convert to fraction form
    2,856.38/3,942.34 = 1,614.38/x
  3. Step 3: Cross multiply
    2,856.38x = 3,942.34 × 1,614.38
  4. Step 4: Simplify right side
    2,856.38x = 6,364,411.10
  5. Step 5: Solve for x
    x = 6,364,411.10/2,856.38
  6. Step 6: Final answer
    x = 2,228.14

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1.5x scale

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.