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Finding the Fourth Proportional to 1,212.16, 1,816.98 and 969.16

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Solution

The fourth proportional to 1,212.16, 1,816.98 and 969.16 is: 1,452.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212.16 : 1,816.98 = 969.16 : x
  2. Step 2: Convert to fraction form
    1,212.16/1,816.98 = 969.16/x
  3. Step 3: Cross multiply
    1,212.16x = 1,816.98 × 969.16
  4. Step 4: Simplify right side
    1,212.16x = 1,760,944.34
  5. Step 5: Solve for x
    x = 1,760,944.34/1,212.16
  6. Step 6: Final answer
    x = 1,452.73

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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.