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Finding the Fourth Proportional to 2,657.75, 3,986.85 and 992.33

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Solution

The fourth proportional to 2,657.75, 3,986.85 and 992.33 is: 1,488.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657.75 : 3,986.85 = 992.33 : x
  2. Step 2: Convert to fraction form
    2,657.75/3,986.85 = 992.33/x
  3. Step 3: Cross multiply
    2,657.75x = 3,986.85 × 992.33
  4. Step 4: Simplify right side
    2,657.75x = 3,956,270.86
  5. Step 5: Solve for x
    x = 3,956,270.86/2,657.75
  6. Step 6: Final answer
    x = 1,488.58

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1.5x scale

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.