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Finding the Fourth Proportional to 4,557.42, 6,834.81 and 1,959.78

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Solution

The fourth proportional to 4,557.42, 6,834.81 and 1,959.78 is: 2,939.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,557.42 : 6,834.81 = 1,959.78 : x
  2. Step 2: Convert to fraction form
    4,557.42/6,834.81 = 1,959.78/x
  3. Step 3: Cross multiply
    4,557.42x = 6,834.81 × 1,959.78
  4. Step 4: Simplify right side
    4,557.42x = 13,394,723.94
  5. Step 5: Solve for x
    x = 13,394,723.94/4,557.42
  6. Step 6: Final answer
    x = 2,939.10

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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.