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Finding the Fourth Proportional to 3,486.75, 5,230.13 and 1,178.25

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Solution

The fourth proportional to 3,486.75, 5,230.13 and 1,178.25 is: 1,767.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486.75 : 5,230.13 = 1,178.25 : x
  2. Step 2: Convert to fraction form
    3,486.75/5,230.13 = 1,178.25/x
  3. Step 3: Cross multiply
    3,486.75x = 5,230.13 × 1,178.25
  4. Step 4: Simplify right side
    3,486.75x = 6,162,394.78
  5. Step 5: Solve for x
    x = 6,162,394.78/3,486.75
  6. Step 6: Final answer
    x = 1,767.38

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Half scale
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Double scale
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Similar ratio
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1.5x scale

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.