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Finding the Fourth Proportional to 1,778.55, 2,454.47 and 992.44

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Solution

The fourth proportional to 1,778.55, 2,454.47 and 992.44 is: 1,369.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,778.55 : 2,454.47 = 992.44 : x
  2. Step 2: Convert to fraction form
    1,778.55/2,454.47 = 992.44/x
  3. Step 3: Cross multiply
    1,778.55x = 2,454.47 × 992.44
  4. Step 4: Simplify right side
    1,778.55x = 2,435,914.21
  5. Step 5: Solve for x
    x = 2,435,914.21/1,778.55
  6. Step 6: Final answer
    x = 1,369.61

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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.