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Finding the Fourth Proportional to 3,965.68, 5,471.85 and 2,393.86

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Solution

The fourth proportional to 3,965.68, 5,471.85 and 2,393.86 is: 3,303.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965.68 : 5,471.85 = 2,393.86 : x
  2. Step 2: Convert to fraction form
    3,965.68/5,471.85 = 2,393.86/x
  3. Step 3: Cross multiply
    3,965.68x = 5,471.85 × 2,393.86
  4. Step 4: Simplify right side
    3,965.68x = 13,098,842.84
  5. Step 5: Solve for x
    x = 13,098,842.84/3,965.68
  6. Step 6: Final answer
    x = 3,303.05

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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.