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Finding the Fourth Proportional to 2,379.90, 3,570.43 and 992.47

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Solution

The fourth proportional to 2,379.90, 3,570.43 and 992.47 is: 1,488.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,379.90 : 3,570.43 = 992.47 : x
  2. Step 2: Convert to fraction form
    2,379.90/3,570.43 = 992.47/x
  3. Step 3: Cross multiply
    2,379.90x = 3,570.43 × 992.47
  4. Step 4: Simplify right side
    2,379.90x = 3,543,544.66
  5. Step 5: Solve for x
    x = 3,543,544.66/2,379.90
  6. Step 6: Final answer
    x = 1,488.95

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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.