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Finding the Fourth Proportional to 3,287.06, 4,932.06 and 1,726.70

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Solution

The fourth proportional to 3,287.06, 4,932.06 and 1,726.70 is: 2,590.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,287.06 : 4,932.06 = 1,726.70 : x
  2. Step 2: Convert to fraction form
    3,287.06/4,932.06 = 1,726.70/x
  3. Step 3: Cross multiply
    3,287.06x = 4,932.06 × 1,726.70
  4. Step 4: Simplify right side
    3,287.06x = 8,516,188.00
  5. Step 5: Solve for x
    x = 8,516,188.00/3,287.06
  6. Step 6: Final answer
    x = 2,590.82

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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.