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Finding the Fourth Proportional to 3,486, 5,229.81 and 1,177.50

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Solution

The fourth proportional to 3,486, 5,229.81 and 1,177.50 is: 1,766.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486 : 5,229.81 = 1,177.50 : x
  2. Step 2: Convert to fraction form
    3,486/5,229.81 = 1,177.50/x
  3. Step 3: Cross multiply
    3,486x = 5,229.81 × 1,177.50
  4. Step 4: Simplify right side
    3,486x = 6,158,101.28
  5. Step 5: Solve for x
    x = 6,158,101.28/3,486
  6. Step 6: Final answer
    x = 1,766.52

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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.