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Finding the Fourth Proportional to 2,759.76, 3,808.71 and 1,581.21

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Solution

The fourth proportional to 2,759.76, 3,808.71 and 1,581.21 is: 2,182.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,759.76 : 3,808.71 = 1,581.21 : x
  2. Step 2: Convert to fraction form
    2,759.76/3,808.71 = 1,581.21/x
  3. Step 3: Cross multiply
    2,759.76x = 3,808.71 × 1,581.21
  4. Step 4: Simplify right side
    2,759.76x = 6,022,370.34
  5. Step 5: Solve for x
    x = 6,022,370.34/2,759.76
  6. Step 6: Final answer
    x = 2,182.21

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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.