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Finding the Fourth Proportional to 3,102.16, 4,281 and 1,775.92

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Solution

The fourth proportional to 3,102.16, 4,281 and 1,775.92 is: 2,450.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.16 : 4,281 = 1,775.92 : x
  2. Step 2: Convert to fraction form
    3,102.16/4,281 = 1,775.92/x
  3. Step 3: Cross multiply
    3,102.16x = 4,281 × 1,775.92
  4. Step 4: Simplify right side
    3,102.16x = 7,602,713.52
  5. Step 5: Solve for x
    x = 7,602,713.52/3,102.16
  6. Step 6: Final answer
    x = 2,450.78

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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.