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Finding the Fourth Proportional to 3,390.59, 5,085.70 and 925.40

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Solution

The fourth proportional to 3,390.59, 5,085.70 and 925.40 is: 1,388.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,390.59 : 5,085.70 = 925.40 : x
  2. Step 2: Convert to fraction form
    3,390.59/5,085.70 = 925.40/x
  3. Step 3: Cross multiply
    3,390.59x = 5,085.70 × 925.40
  4. Step 4: Simplify right side
    3,390.59x = 4,706,306.78
  5. Step 5: Solve for x
    x = 4,706,306.78/3,390.59
  6. Step 6: Final answer
    x = 1,388.05

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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.