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Finding the Fourth Proportional to 2,712.90, 4,068.84 and 764.64

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Solution

The fourth proportional to 2,712.90, 4,068.84 and 764.64 is: 1,146.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712.90 : 4,068.84 = 764.64 : x
  2. Step 2: Convert to fraction form
    2,712.90/4,068.84 = 764.64/x
  3. Step 3: Cross multiply
    2,712.90x = 4,068.84 × 764.64
  4. Step 4: Simplify right side
    2,712.90x = 3,111,197.82
  5. Step 5: Solve for x
    x = 3,111,197.82/2,712.90
  6. Step 6: Final answer
    x = 1,146.82

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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.