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Finding the Fourth Proportional to 1,864.87, 2,796.17 and 767.88

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Solution

The fourth proportional to 1,864.87, 2,796.17 and 767.88 is: 1,151.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,864.87 : 2,796.17 = 767.88 : x
  2. Step 2: Convert to fraction form
    1,864.87/2,796.17 = 767.88/x
  3. Step 3: Cross multiply
    1,864.87x = 2,796.17 × 767.88
  4. Step 4: Simplify right side
    1,864.87x = 2,147,123.50
  5. Step 5: Solve for x
    x = 2,147,123.50/1,864.87
  6. Step 6: Final answer
    x = 1,151.35

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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.