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Finding the Fourth Proportional to 7,077.87, 9,767.51 and 3,891.22

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Solution

The fourth proportional to 7,077.87, 9,767.51 and 3,891.22 is: 5,369.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,077.87 : 9,767.51 = 3,891.22 : x
  2. Step 2: Convert to fraction form
    7,077.87/9,767.51 = 3,891.22/x
  3. Step 3: Cross multiply
    7,077.87x = 9,767.51 × 3,891.22
  4. Step 4: Simplify right side
    7,077.87x = 38,007,530.26
  5. Step 5: Solve for x
    x = 38,007,530.26/7,077.87
  6. Step 6: Final answer
    x = 5,369.91

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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.