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Finding the Fourth Proportional to 2,097.45, 3,144.92 and 864.14

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Solution

The fourth proportional to 2,097.45, 3,144.92 and 864.14 is: 1,295.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.45 : 3,144.92 = 864.14 : x
  2. Step 2: Convert to fraction form
    2,097.45/3,144.92 = 864.14/x
  3. Step 3: Cross multiply
    2,097.45x = 3,144.92 × 864.14
  4. Step 4: Simplify right side
    2,097.45x = 2,717,631.12
  5. Step 5: Solve for x
    x = 2,717,631.12/2,097.45
  6. Step 6: Final answer
    x = 1,295.68

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1.5x scale

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.