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Finding the Fourth Proportional to 1,499.19, 2,069 and 827.11

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Solution

The fourth proportional to 1,499.19, 2,069 and 827.11 is: 1,141.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,499.19 : 2,069 = 827.11 : x
  2. Step 2: Convert to fraction form
    1,499.19/2,069 = 827.11/x
  3. Step 3: Cross multiply
    1,499.19x = 2,069 × 827.11
  4. Step 4: Simplify right side
    1,499.19x = 1,711,290.59
  5. Step 5: Solve for x
    x = 1,711,290.59/1,499.19
  6. Step 6: Final answer
    x = 1,141.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.