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Finding the Fourth Proportional to 3,290.54, 4,932.54 and 1,314.72

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Solution

The fourth proportional to 3,290.54, 4,932.54 and 1,314.72 is: 1,970.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,290.54 : 4,932.54 = 1,314.72 : x
  2. Step 2: Convert to fraction form
    3,290.54/4,932.54 = 1,314.72/x
  3. Step 3: Cross multiply
    3,290.54x = 4,932.54 × 1,314.72
  4. Step 4: Simplify right side
    3,290.54x = 6,484,908.99
  5. Step 5: Solve for x
    x = 6,484,908.99/3,290.54
  6. Step 6: Final answer
    x = 1,970.78

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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.