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Finding the Fourth Proportional to 5,378.24, 8,071 and 2,458.59

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Solution

The fourth proportional to 5,378.24, 8,071 and 2,458.59 is: 3,689.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,378.24 : 8,071 = 2,458.59 : x
  2. Step 2: Convert to fraction form
    5,378.24/8,071 = 2,458.59/x
  3. Step 3: Cross multiply
    5,378.24x = 8,071 × 2,458.59
  4. Step 4: Simplify right side
    5,378.24x = 19,843,279.89
  5. Step 5: Solve for x
    x = 19,843,279.89/5,378.24
  6. Step 6: Final answer
    x = 3,689.55

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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.