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Finding the Fourth Proportional to 2,715.42, 4,072.65 and 767.58

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Solution

The fourth proportional to 2,715.42, 4,072.65 and 767.58 is: 1,151.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,715.42 : 4,072.65 = 767.58 : x
  2. Step 2: Convert to fraction form
    2,715.42/4,072.65 = 767.58/x
  3. Step 3: Cross multiply
    2,715.42x = 4,072.65 × 767.58
  4. Step 4: Simplify right side
    2,715.42x = 3,126,084.69
  5. Step 5: Solve for x
    x = 3,126,084.69/2,715.42
  6. Step 6: Final answer
    x = 1,151.23

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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.