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Finding the Fourth Proportional to 2,086.75, 2,878.92 and 1,378.93

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Solution

The fourth proportional to 2,086.75, 2,878.92 and 1,378.93 is: 1,902.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086.75 : 2,878.92 = 1,378.93 : x
  2. Step 2: Convert to fraction form
    2,086.75/2,878.92 = 1,378.93/x
  3. Step 3: Cross multiply
    2,086.75x = 2,878.92 × 1,378.93
  4. Step 4: Simplify right side
    2,086.75x = 3,969,829.16
  5. Step 5: Solve for x
    x = 3,969,829.16/2,086.75
  6. Step 6: Final answer
    x = 1,902.40

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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.