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Finding the Fourth Proportional to 2,902.88, 4,006.02 and 1,643.98

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Solution

The fourth proportional to 2,902.88, 4,006.02 and 1,643.98 is: 2,268.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.88 : 4,006.02 = 1,643.98 : x
  2. Step 2: Convert to fraction form
    2,902.88/4,006.02 = 1,643.98/x
  3. Step 3: Cross multiply
    2,902.88x = 4,006.02 × 1,643.98
  4. Step 4: Simplify right side
    2,902.88x = 6,585,816.76
  5. Step 5: Solve for x
    x = 6,585,816.76/2,902.88
  6. Step 6: Final answer
    x = 2,268.72

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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.