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Finding the Fourth Proportional to 2,908.79, 4,013.24 and 1,649.78

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Solution

The fourth proportional to 2,908.79, 4,013.24 and 1,649.78 is: 2,276.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,908.79 : 4,013.24 = 1,649.78 : x
  2. Step 2: Convert to fraction form
    2,908.79/4,013.24 = 1,649.78/x
  3. Step 3: Cross multiply
    2,908.79x = 4,013.24 × 1,649.78
  4. Step 4: Simplify right side
    2,908.79x = 6,620,934.77
  5. Step 5: Solve for x
    x = 6,620,934.77/2,908.79
  6. Step 6: Final answer
    x = 2,276.19

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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.