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Finding the Fourth Proportional to 2,318, 3,198.90 and 1,270.16

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Solution

The fourth proportional to 2,318, 3,198.90 and 1,270.16 is: 1,752.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,318 : 3,198.90 = 1,270.16 : x
  2. Step 2: Convert to fraction form
    2,318/3,198.90 = 1,270.16/x
  3. Step 3: Cross multiply
    2,318x = 3,198.90 × 1,270.16
  4. Step 4: Simplify right side
    2,318x = 4,063,114.82
  5. Step 5: Solve for x
    x = 4,063,114.82/2,318
  6. Step 6: Final answer
    x = 1,752.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.