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Finding the Fourth Proportional to 2,834.79, 4,248.09 and 2,487.30

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Solution

The fourth proportional to 2,834.79, 4,248.09 and 2,487.30 is: 3,727.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,834.79 : 4,248.09 = 2,487.30 : x
  2. Step 2: Convert to fraction form
    2,834.79/4,248.09 = 2,487.30/x
  3. Step 3: Cross multiply
    2,834.79x = 4,248.09 × 2,487.30
  4. Step 4: Simplify right side
    2,834.79x = 10,566,274.26
  5. Step 5: Solve for x
    x = 10,566,274.26/2,834.79
  6. Step 6: Final answer
    x = 3,727.36

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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.