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Finding the Fourth Proportional to 3,965.50, 5,948.25 and 1,229.50

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Solution

The fourth proportional to 3,965.50, 5,948.25 and 1,229.50 is: 1,844.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965.50 : 5,948.25 = 1,229.50 : x
  2. Step 2: Convert to fraction form
    3,965.50/5,948.25 = 1,229.50/x
  3. Step 3: Cross multiply
    3,965.50x = 5,948.25 × 1,229.50
  4. Step 4: Simplify right side
    3,965.50x = 7,313,373.38
  5. Step 5: Solve for x
    x = 7,313,373.38/3,965.50
  6. Step 6: Final answer
    x = 1,844.25

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Half scale
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Double scale
Find fourth proportional to 3,966.50, 5,949.75 and 1,230.50
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.