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Finding the Fourth Proportional to 2,869.88, 3,952.89 and 2,205.46

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Solution

The fourth proportional to 2,869.88, 3,952.89 and 2,205.46 is: 3,037.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,869.88 : 3,952.89 = 2,205.46 : x
  2. Step 2: Convert to fraction form
    2,869.88/3,952.89 = 2,205.46/x
  3. Step 3: Cross multiply
    2,869.88x = 3,952.89 × 2,205.46
  4. Step 4: Simplify right side
    2,869.88x = 8,717,940.78
  5. Step 5: Solve for x
    x = 8,717,940.78/2,869.88
  6. Step 6: Final answer
    x = 3,037.74

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1.5x scale

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.