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Finding the Fourth Proportional to 2,856.61, 3,941.80 and 1,614.61

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Solution

The fourth proportional to 2,856.61, 3,941.80 and 1,614.61 is: 2,227.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.61 : 3,941.80 = 1,614.61 : x
  2. Step 2: Convert to fraction form
    2,856.61/3,941.80 = 1,614.61/x
  3. Step 3: Cross multiply
    2,856.61x = 3,941.80 × 1,614.61
  4. Step 4: Simplify right side
    2,856.61x = 6,364,469.70
  5. Step 5: Solve for x
    x = 6,364,469.70/2,856.61
  6. Step 6: Final answer
    x = 2,227.98

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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.