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Finding the Fourth Proportional to 2,222.64, 3,065.84 and 1,655

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Solution

The fourth proportional to 2,222.64, 3,065.84 and 1,655 is: 2,282.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,222.64 : 3,065.84 = 1,655 : x
  2. Step 2: Convert to fraction form
    2,222.64/3,065.84 = 1,655/x
  3. Step 3: Cross multiply
    2,222.64x = 3,065.84 × 1,655
  4. Step 4: Simplify right side
    2,222.64x = 5,073,965.20
  5. Step 5: Solve for x
    x = 5,073,965.20/2,222.64
  6. Step 6: Final answer
    x = 2,282.86

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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.