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Finding the Fourth Proportional to 2,899, 4,003.86 and 1,965.88

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Solution

The fourth proportional to 2,899, 4,003.86 and 1,965.88 is: 2,715.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,899 : 4,003.86 = 1,965.88 : x
  2. Step 2: Convert to fraction form
    2,899/4,003.86 = 1,965.88/x
  3. Step 3: Cross multiply
    2,899x = 4,003.86 × 1,965.88
  4. Step 4: Simplify right side
    2,899x = 7,871,108.30
  5. Step 5: Solve for x
    x = 7,871,108.30/2,899
  6. Step 6: Final answer
    x = 2,715.11

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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.