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Finding the Fourth Proportional to 2,656.24, 3,985.17 and 925

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Solution

The fourth proportional to 2,656.24, 3,985.17 and 925 is: 1,387.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656.24 : 3,985.17 = 925 : x
  2. Step 2: Convert to fraction form
    2,656.24/3,985.17 = 925/x
  3. Step 3: Cross multiply
    2,656.24x = 3,985.17 × 925
  4. Step 4: Simplify right side
    2,656.24x = 3,686,282.25
  5. Step 5: Solve for x
    x = 3,686,282.25/2,656.24
  6. Step 6: Final answer
    x = 1,387.78

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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.