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Finding the Fourth Proportional to 2,758.49, 4,138.36 and 909.79

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Solution

The fourth proportional to 2,758.49, 4,138.36 and 909.79 is: 1,364.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.49 : 4,138.36 = 909.79 : x
  2. Step 2: Convert to fraction form
    2,758.49/4,138.36 = 909.79/x
  3. Step 3: Cross multiply
    2,758.49x = 4,138.36 × 909.79
  4. Step 4: Simplify right side
    2,758.49x = 3,765,038.54
  5. Step 5: Solve for x
    x = 3,765,038.54/2,758.49
  6. Step 6: Final answer
    x = 1,364.89

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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.