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Finding the Fourth Proportional to 1,382.01, 2,077.80 and 1,110.00

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Solution

The fourth proportional to 1,382.01, 2,077.80 and 1,110.00 is: 1,668.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.01 : 2,077.80 = 1,110.00 : x
  2. Step 2: Convert to fraction form
    1,382.01/2,077.80 = 1,110.00/x
  3. Step 3: Cross multiply
    1,382.01x = 2,077.80 × 1,110.00
  4. Step 4: Simplify right side
    1,382.01x = 2,306,367.87
  5. Step 5: Solve for x
    x = 2,306,367.87/1,382.01
  6. Step 6: Final answer
    x = 1,668.85

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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.