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Finding the Fourth Proportional to 2,657.35, 3,985.97 and 925.93

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Solution

The fourth proportional to 2,657.35, 3,985.97 and 925.93 is: 1,388.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657.35 : 3,985.97 = 925.93 : x
  2. Step 2: Convert to fraction form
    2,657.35/3,985.97 = 925.93/x
  3. Step 3: Cross multiply
    2,657.35x = 3,985.97 × 925.93
  4. Step 4: Simplify right side
    2,657.35x = 3,690,704.64
  5. Step 5: Solve for x
    x = 3,690,704.64/2,657.35
  6. Step 6: Final answer
    x = 1,388.87

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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.