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Finding the Fourth Proportional to 2,558.81, 3,836.84 and 914.45

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Solution

The fourth proportional to 2,558.81, 3,836.84 and 914.45 is: 1,371.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,558.81 : 3,836.84 = 914.45 : x
  2. Step 2: Convert to fraction form
    2,558.81/3,836.84 = 914.45/x
  3. Step 3: Cross multiply
    2,558.81x = 3,836.84 × 914.45
  4. Step 4: Simplify right side
    2,558.81x = 3,508,593.77
  5. Step 5: Solve for x
    x = 3,508,593.77/2,558.81
  6. Step 6: Final answer
    x = 1,371.18

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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.