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Finding the Fourth Proportional to 1,331.50, 1,983.18 and 1,262.11

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Solution

The fourth proportional to 1,331.50, 1,983.18 and 1,262.11 is: 1,879.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,331.50 : 1,983.18 = 1,262.11 : x
  2. Step 2: Convert to fraction form
    1,331.50/1,983.18 = 1,262.11/x
  3. Step 3: Cross multiply
    1,331.50x = 1,983.18 × 1,262.11
  4. Step 4: Simplify right side
    1,331.50x = 2,502,991.31
  5. Step 5: Solve for x
    x = 2,502,991.31/1,331.50
  6. Step 6: Final answer
    x = 1,879.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.