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Finding the Fourth Proportional to 2,236.79, 3,355.41 and 756.18

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Solution

The fourth proportional to 2,236.79, 3,355.41 and 756.18 is: 1,134.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,236.79 : 3,355.41 = 756.18 : x
  2. Step 2: Convert to fraction form
    2,236.79/3,355.41 = 756.18/x
  3. Step 3: Cross multiply
    2,236.79x = 3,355.41 × 756.18
  4. Step 4: Simplify right side
    2,236.79x = 2,537,300.42
  5. Step 5: Solve for x
    x = 2,537,300.42/2,236.79
  6. Step 6: Final answer
    x = 1,134.35

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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.