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Finding the Fourth Proportional to 2,856.32, 3,941.72 and 1,614.32

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Solution

The fourth proportional to 2,856.32, 3,941.72 and 1,614.32 is: 2,227.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.32 : 3,941.72 = 1,614.32 : x
  2. Step 2: Convert to fraction form
    2,856.32/3,941.72 = 1,614.32/x
  3. Step 3: Cross multiply
    2,856.32x = 3,941.72 × 1,614.32
  4. Step 4: Simplify right side
    2,856.32x = 6,363,197.43
  5. Step 5: Solve for x
    x = 6,363,197.43/2,856.32
  6. Step 6: Final answer
    x = 2,227.76

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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.