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Finding the Fourth Proportional to 2,899.85, 4,002.35 and 1,640.88

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Solution

The fourth proportional to 2,899.85, 4,002.35 and 1,640.88 is: 2,264.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,899.85 : 4,002.35 = 1,640.88 : x
  2. Step 2: Convert to fraction form
    2,899.85/4,002.35 = 1,640.88/x
  3. Step 3: Cross multiply
    2,899.85x = 4,002.35 × 1,640.88
  4. Step 4: Simplify right side
    2,899.85x = 6,567,367.86
  5. Step 5: Solve for x
    x = 6,567,367.86/2,899.85
  6. Step 6: Final answer
    x = 2,264.73

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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.