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Finding the Fourth Proportional to 2,856.48, 3,941.76 and 1,614.48

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Solution

The fourth proportional to 2,856.48, 3,941.76 and 1,614.48 is: 2,227.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.48 : 3,941.76 = 1,614.48 : x
  2. Step 2: Convert to fraction form
    2,856.48/3,941.76 = 1,614.48/x
  3. Step 3: Cross multiply
    2,856.48x = 3,941.76 × 1,614.48
  4. Step 4: Simplify right side
    2,856.48x = 6,363,892.68
  5. Step 5: Solve for x
    x = 6,363,892.68/2,856.48
  6. Step 6: Final answer
    x = 2,227.88

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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.