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Finding the Fourth Proportional to 1,379.98, 2,062.09 and 1,049.10

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Solution

The fourth proportional to 1,379.98, 2,062.09 and 1,049.10 is: 1,567.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,379.98 : 2,062.09 = 1,049.10 : x
  2. Step 2: Convert to fraction form
    1,379.98/2,062.09 = 1,049.10/x
  3. Step 3: Cross multiply
    1,379.98x = 2,062.09 × 1,049.10
  4. Step 4: Simplify right side
    1,379.98x = 2,163,338.62
  5. Step 5: Solve for x
    x = 2,163,338.62/1,379.98
  6. Step 6: Final answer
    x = 1,567.66

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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.