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Finding the Fourth Proportional to 7,077.75, 9,767.05 and 3,891.06

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Solution

The fourth proportional to 7,077.75, 9,767.05 and 3,891.06 is: 5,369.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,077.75 : 9,767.05 = 3,891.06 : x
  2. Step 2: Convert to fraction form
    7,077.75/9,767.05 = 3,891.06/x
  3. Step 3: Cross multiply
    7,077.75x = 9,767.05 × 3,891.06
  4. Step 4: Simplify right side
    7,077.75x = 38,004,177.57
  5. Step 5: Solve for x
    x = 38,004,177.57/7,077.75
  6. Step 6: Final answer
    x = 5,369.53

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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.