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Finding the Fourth Proportional to 2,715.54, 4,072.59 and 767.85

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Solution

The fourth proportional to 2,715.54, 4,072.59 and 767.85 is: 1,151.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,715.54 : 4,072.59 = 767.85 : x
  2. Step 2: Convert to fraction form
    2,715.54/4,072.59 = 767.85/x
  3. Step 3: Cross multiply
    2,715.54x = 4,072.59 × 767.85
  4. Step 4: Simplify right side
    2,715.54x = 3,127,138.23
  5. Step 5: Solve for x
    x = 3,127,138.23/2,715.54
  6. Step 6: Final answer
    x = 1,151.57

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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.