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Finding the Fourth Proportional to 2,537.08, 3,805.70 and 688.12

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Solution

The fourth proportional to 2,537.08, 3,805.70 and 688.12 is: 1,032.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,537.08 : 3,805.70 = 688.12 : x
  2. Step 2: Convert to fraction form
    2,537.08/3,805.70 = 688.12/x
  3. Step 3: Cross multiply
    2,537.08x = 3,805.70 × 688.12
  4. Step 4: Simplify right side
    2,537.08x = 2,618,778.28
  5. Step 5: Solve for x
    x = 2,618,778.28/2,537.08
  6. Step 6: Final answer
    x = 1,032.20

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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.