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Finding the Fourth Proportional to 2,765.84, 4,148.97 and 1,011.32

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Solution

The fourth proportional to 2,765.84, 4,148.97 and 1,011.32 is: 1,517.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.84 : 4,148.97 = 1,011.32 : x
  2. Step 2: Convert to fraction form
    2,765.84/4,148.97 = 1,011.32/x
  3. Step 3: Cross multiply
    2,765.84x = 4,148.97 × 1,011.32
  4. Step 4: Simplify right side
    2,765.84x = 4,195,936.34
  5. Step 5: Solve for x
    x = 4,195,936.34/2,765.84
  6. Step 6: Final answer
    x = 1,517.06

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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.