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Finding the Fourth Proportional to 3,390.85, 5,086.33 and 925.87

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Solution

The fourth proportional to 3,390.85, 5,086.33 and 925.87 is: 1,388.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,390.85 : 5,086.33 = 925.87 : x
  2. Step 2: Convert to fraction form
    3,390.85/5,086.33 = 925.87/x
  3. Step 3: Cross multiply
    3,390.85x = 5,086.33 × 925.87
  4. Step 4: Simplify right side
    3,390.85x = 4,709,280.36
  5. Step 5: Solve for x
    x = 4,709,280.36/3,390.85
  6. Step 6: Final answer
    x = 1,388.82

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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.