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Finding the Fourth Proportional to 3,490.98, 5,236.80 and 1,151.00

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Solution

The fourth proportional to 3,490.98, 5,236.80 and 1,151.00 is: 1,726.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,490.98 : 5,236.80 = 1,151.00 : x
  2. Step 2: Convert to fraction form
    3,490.98/5,236.80 = 1,151.00/x
  3. Step 3: Cross multiply
    3,490.98x = 5,236.80 × 1,151.00
  4. Step 4: Simplify right side
    3,490.98x = 6,027,565.58
  5. Step 5: Solve for x
    x = 6,027,565.58/3,490.98
  6. Step 6: Final answer
    x = 1,726.61

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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.