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Finding the Fourth Proportional to 2,715.07, 4,072.91 and 865.54

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Solution

The fourth proportional to 2,715.07, 4,072.91 and 865.54 is: 1,298.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,715.07 : 4,072.91 = 865.54 : x
  2. Step 2: Convert to fraction form
    2,715.07/4,072.91 = 865.54/x
  3. Step 3: Cross multiply
    2,715.07x = 4,072.91 × 865.54
  4. Step 4: Simplify right side
    2,715.07x = 3,525,266.52
  5. Step 5: Solve for x
    x = 3,525,266.52/2,715.07
  6. Step 6: Final answer
    x = 1,298.41

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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.