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Finding the Fourth Proportional to 3,278.89, 4,913.29 and 1,523.53

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Solution

The fourth proportional to 3,278.89, 4,913.29 and 1,523.53 is: 2,282.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,278.89 : 4,913.29 = 1,523.53 : x
  2. Step 2: Convert to fraction form
    3,278.89/4,913.29 = 1,523.53/x
  3. Step 3: Cross multiply
    3,278.89x = 4,913.29 × 1,523.53
  4. Step 4: Simplify right side
    3,278.89x = 7,485,544.71
  5. Step 5: Solve for x
    x = 7,485,544.71/3,278.89
  6. Step 6: Final answer
    x = 2,282.95

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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.