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Finding the Fourth Proportional to 2,803.82, 3,868.86 and 1,755.88

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Solution

The fourth proportional to 2,803.82, 3,868.86 and 1,755.88 is: 2,422.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,803.82 : 3,868.86 = 1,755.88 : x
  2. Step 2: Convert to fraction form
    2,803.82/3,868.86 = 1,755.88/x
  3. Step 3: Cross multiply
    2,803.82x = 3,868.86 × 1,755.88
  4. Step 4: Simplify right side
    2,803.82x = 6,793,250.81
  5. Step 5: Solve for x
    x = 6,793,250.81/2,803.82
  6. Step 6: Final answer
    x = 2,422.86

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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.