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Finding the Fourth Proportional to 2,321.14, 3,475.14 and 2,102.18

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Solution

The fourth proportional to 2,321.14, 3,475.14 and 2,102.18 is: 3,147.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,321.14 : 3,475.14 = 2,102.18 : x
  2. Step 2: Convert to fraction form
    2,321.14/3,475.14 = 2,102.18/x
  3. Step 3: Cross multiply
    2,321.14x = 3,475.14 × 2,102.18
  4. Step 4: Simplify right side
    2,321.14x = 7,305,369.81
  5. Step 5: Solve for x
    x = 7,305,369.81/2,321.14
  6. Step 6: Final answer
    x = 3,147.32

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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.