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Finding the Fourth Proportional to 2,859.30, 4,255.47 and 2,754

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Solution

The fourth proportional to 2,859.30, 4,255.47 and 2,754 is: 4,098.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,859.30 : 4,255.47 = 2,754 : x
  2. Step 2: Convert to fraction form
    2,859.30/4,255.47 = 2,754/x
  3. Step 3: Cross multiply
    2,859.30x = 4,255.47 × 2,754
  4. Step 4: Simplify right side
    2,859.30x = 11,719,564.38
  5. Step 5: Solve for x
    x = 11,719,564.38/2,859.30
  6. Step 6: Final answer
    x = 4,098.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.