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Finding the Fourth Proportional to 2,768.12, 4,152.10 and 918.48

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Solution

The fourth proportional to 2,768.12, 4,152.10 and 918.48 is: 1,377.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.12 : 4,152.10 = 918.48 : x
  2. Step 2: Convert to fraction form
    2,768.12/4,152.10 = 918.48/x
  3. Step 3: Cross multiply
    2,768.12x = 4,152.10 × 918.48
  4. Step 4: Simplify right side
    2,768.12x = 3,813,620.81
  5. Step 5: Solve for x
    x = 3,813,620.81/2,768.12
  6. Step 6: Final answer
    x = 1,377.69

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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.