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Finding the Fourth Proportional to 2,152.56, 3,204.78 and 2,121.78

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Solution

The fourth proportional to 2,152.56, 3,204.78 and 2,121.78 is: 3,158.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.56 : 3,204.78 = 2,121.78 : x
  2. Step 2: Convert to fraction form
    2,152.56/3,204.78 = 2,121.78/x
  3. Step 3: Cross multiply
    2,152.56x = 3,204.78 × 2,121.78
  4. Step 4: Simplify right side
    2,152.56x = 6,799,838.11
  5. Step 5: Solve for x
    x = 6,799,838.11/2,152.56
  6. Step 6: Final answer
    x = 3,158.95

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