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Finding the Fourth Proportional to 2,536.71, 3,805.11 and 688.02

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Solution

The fourth proportional to 2,536.71, 3,805.11 and 688.02 is: 1,032.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,536.71 : 3,805.11 = 688.02 : x
  2. Step 2: Convert to fraction form
    2,536.71/3,805.11 = 688.02/x
  3. Step 3: Cross multiply
    2,536.71x = 3,805.11 × 688.02
  4. Step 4: Simplify right side
    2,536.71x = 2,617,991.78
  5. Step 5: Solve for x
    x = 2,617,991.78/2,536.71
  6. Step 6: Final answer
    x = 1,032.04

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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.