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Finding the Fourth Proportional to 3,135.71, 4,703.27 and 1,902.79

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Solution

The fourth proportional to 3,135.71, 4,703.27 and 1,902.79 is: 2,854.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,135.71 : 4,703.27 = 1,902.79 : x
  2. Step 2: Convert to fraction form
    3,135.71/4,703.27 = 1,902.79/x
  3. Step 3: Cross multiply
    3,135.71x = 4,703.27 × 1,902.79
  4. Step 4: Simplify right side
    3,135.71x = 8,949,331.49
  5. Step 5: Solve for x
    x = 8,949,331.49/3,135.71
  6. Step 6: Final answer
    x = 2,854.00

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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.