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Finding the Fourth Proportional to 2,517.50, 3,776.46 and 786.12

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Solution

The fourth proportional to 2,517.50, 3,776.46 and 786.12 is: 1,179.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,517.50 : 3,776.46 = 786.12 : x
  2. Step 2: Convert to fraction form
    2,517.50/3,776.46 = 786.12/x
  3. Step 3: Cross multiply
    2,517.50x = 3,776.46 × 786.12
  4. Step 4: Simplify right side
    2,517.50x = 2,968,750.74
  5. Step 5: Solve for x
    x = 2,968,750.74/2,517.50
  6. Step 6: Final answer
    x = 1,179.25

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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.