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Finding the Fourth Proportional to 2,767.34, 4,151.08 and 918.58

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Solution

The fourth proportional to 2,767.34, 4,151.08 and 918.58 is: 1,377.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767.34 : 4,151.08 = 918.58 : x
  2. Step 2: Convert to fraction form
    2,767.34/4,151.08 = 918.58/x
  3. Step 3: Cross multiply
    2,767.34x = 4,151.08 × 918.58
  4. Step 4: Simplify right side
    2,767.34x = 3,813,099.07
  5. Step 5: Solve for x
    x = 3,813,099.07/2,767.34
  6. Step 6: Final answer
    x = 1,377.89

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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.