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Finding the Fourth Proportional to 2,728.76, 3,765.68 and 1,486.76

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Solution

The fourth proportional to 2,728.76, 3,765.68 and 1,486.76 is: 2,051.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,728.76 : 3,765.68 = 1,486.76 : x
  2. Step 2: Convert to fraction form
    2,728.76/3,765.68 = 1,486.76/x
  3. Step 3: Cross multiply
    2,728.76x = 3,765.68 × 1,486.76
  4. Step 4: Simplify right side
    2,728.76x = 5,598,662.40
  5. Step 5: Solve for x
    x = 5,598,662.40/2,728.76
  6. Step 6: Final answer
    x = 2,051.72

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.