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Finding the Fourth Proportional to 1,778.49, 2,454.56 and 992.59

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Solution

The fourth proportional to 1,778.49, 2,454.56 and 992.59 is: 1,369.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,778.49 : 2,454.56 = 992.59 : x
  2. Step 2: Convert to fraction form
    1,778.49/2,454.56 = 992.59/x
  3. Step 3: Cross multiply
    1,778.49x = 2,454.56 × 992.59
  4. Step 4: Simplify right side
    1,778.49x = 2,436,363.75
  5. Step 5: Solve for x
    x = 2,436,363.75/1,778.49
  6. Step 6: Final answer
    x = 1,369.91

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1.5x scale

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.