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Finding the Fourth Proportional to 3,292.52, 4,546.76 and 2,115.63

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Solution

The fourth proportional to 3,292.52, 4,546.76 and 2,115.63 is: 2,921.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,292.52 : 4,546.76 = 2,115.63 : x
  2. Step 2: Convert to fraction form
    3,292.52/4,546.76 = 2,115.63/x
  3. Step 3: Cross multiply
    3,292.52x = 4,546.76 × 2,115.63
  4. Step 4: Simplify right side
    3,292.52x = 9,619,251.28
  5. Step 5: Solve for x
    x = 9,619,251.28/3,292.52
  6. Step 6: Final answer
    x = 2,921.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.