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Finding the Fourth Proportional to 6,293.88, 9,443.28 and 1,911.78

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Solution

The fourth proportional to 6,293.88, 9,443.28 and 1,911.78 is: 2,868.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,293.88 : 9,443.28 = 1,911.78 : x
  2. Step 2: Convert to fraction form
    6,293.88/9,443.28 = 1,911.78/x
  3. Step 3: Cross multiply
    6,293.88x = 9,443.28 × 1,911.78
  4. Step 4: Simplify right side
    6,293.88x = 18,053,473.84
  5. Step 5: Solve for x
    x = 18,053,473.84/6,293.88
  6. Step 6: Final answer
    x = 2,868.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.