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Finding the Fourth Proportional to 1,778.87, 2,454.84 and 992.91

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Solution

The fourth proportional to 1,778.87, 2,454.84 and 992.91 is: 1,370.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,778.87 : 2,454.84 = 992.91 : x
  2. Step 2: Convert to fraction form
    1,778.87/2,454.84 = 992.91/x
  3. Step 3: Cross multiply
    1,778.87x = 2,454.84 × 992.91
  4. Step 4: Simplify right side
    1,778.87x = 2,437,435.18
  5. Step 5: Solve for x
    x = 2,437,435.18/1,778.87
  6. Step 6: Final answer
    x = 1,370.22

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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.