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Finding the Fourth Proportional to 3,291.71, 4,932.99 and 1,728.61

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Solution

The fourth proportional to 3,291.71, 4,932.99 and 1,728.61 is: 2,590.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,291.71 : 4,932.99 = 1,728.61 : x
  2. Step 2: Convert to fraction form
    3,291.71/4,932.99 = 1,728.61/x
  3. Step 3: Cross multiply
    3,291.71x = 4,932.99 × 1,728.61
  4. Step 4: Simplify right side
    3,291.71x = 8,527,203.51
  5. Step 5: Solve for x
    x = 8,527,203.51/3,291.71
  6. Step 6: Final answer
    x = 2,590.51

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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.