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Finding the Fourth Proportional to 2,908.52, 4,363.26 and 1,447.72

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Solution

The fourth proportional to 2,908.52, 4,363.26 and 1,447.72 is: 2,171.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,908.52 : 4,363.26 = 1,447.72 : x
  2. Step 2: Convert to fraction form
    2,908.52/4,363.26 = 1,447.72/x
  3. Step 3: Cross multiply
    2,908.52x = 4,363.26 × 1,447.72
  4. Step 4: Simplify right side
    2,908.52x = 6,316,778.77
  5. Step 5: Solve for x
    x = 6,316,778.77/2,908.52
  6. Step 6: Final answer
    x = 2,171.82

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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.