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Finding the Fourth Proportional to 5,351.75, 7,384.75 and 2,961.40

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Solution

The fourth proportional to 5,351.75, 7,384.75 and 2,961.40 is: 4,086.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,351.75 : 7,384.75 = 2,961.40 : x
  2. Step 2: Convert to fraction form
    5,351.75/7,384.75 = 2,961.40/x
  3. Step 3: Cross multiply
    5,351.75x = 7,384.75 × 2,961.40
  4. Step 4: Simplify right side
    5,351.75x = 21,869,198.65
  5. Step 5: Solve for x
    x = 21,869,198.65/5,351.75
  6. Step 6: Final answer
    x = 4,086.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.