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Finding the Fourth Proportional to 2,799.74, 4,200.21 and 1,565.70

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Solution

The fourth proportional to 2,799.74, 4,200.21 and 1,565.70 is: 2,348.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,799.74 : 4,200.21 = 1,565.70 : x
  2. Step 2: Convert to fraction form
    2,799.74/4,200.21 = 1,565.70/x
  3. Step 3: Cross multiply
    2,799.74x = 4,200.21 × 1,565.70
  4. Step 4: Simplify right side
    2,799.74x = 6,576,268.80
  5. Step 5: Solve for x
    x = 6,576,268.80/2,799.74
  6. Step 6: Final answer
    x = 2,348.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.