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Finding the Fourth Proportional to 3,517.74, 5,278.68 and 1,328.00

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Solution

The fourth proportional to 3,517.74, 5,278.68 and 1,328.00 is: 1,992.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,517.74 : 5,278.68 = 1,328.00 : x
  2. Step 2: Convert to fraction form
    3,517.74/5,278.68 = 1,328.00/x
  3. Step 3: Cross multiply
    3,517.74x = 5,278.68 × 1,328.00
  4. Step 4: Simplify right side
    3,517.74x = 7,010,060.65
  5. Step 5: Solve for x
    x = 7,010,060.65/3,517.74
  6. Step 6: Final answer
    x = 1,992.77

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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.