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Finding the Fourth Proportional to 2,236.79, 3,354.06 and 775.55

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Solution

The fourth proportional to 2,236.79, 3,354.06 and 775.55 is: 1,162.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,236.79 : 3,354.06 = 775.55 : x
  2. Step 2: Convert to fraction form
    2,236.79/3,354.06 = 775.55/x
  3. Step 3: Cross multiply
    2,236.79x = 3,354.06 × 775.55
  4. Step 4: Simplify right side
    2,236.79x = 2,601,241.23
  5. Step 5: Solve for x
    x = 2,601,241.23/2,236.79
  6. Step 6: Final answer
    x = 1,162.93

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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.