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Finding the Fourth Proportional to 2,902.85, 4,006.13 and 1,643.90

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Solution

The fourth proportional to 2,902.85, 4,006.13 and 1,643.90 is: 2,268.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.85 : 4,006.13 = 1,643.90 : x
  2. Step 2: Convert to fraction form
    2,902.85/4,006.13 = 1,643.90/x
  3. Step 3: Cross multiply
    2,902.85x = 4,006.13 × 1,643.90
  4. Step 4: Simplify right side
    2,902.85x = 6,585,677.11
  5. Step 5: Solve for x
    x = 6,585,677.11/2,902.85
  6. Step 6: Final answer
    x = 2,268.69

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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.