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Finding the Fourth Proportional to 7,756.80, 10,709.51 and 5,961.07

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Solution

The fourth proportional to 7,756.80, 10,709.51 and 5,961.07 is: 8,230.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,756.80 : 10,709.51 = 5,961.07 : x
  2. Step 2: Convert to fraction form
    7,756.80/10,709.51 = 5,961.07/x
  3. Step 3: Cross multiply
    7,756.80x = 10,709.51 × 5,961.07
  4. Step 4: Simplify right side
    7,756.80x = 63,840,138.78
  5. Step 5: Solve for x
    x = 63,840,138.78/7,756.80
  6. Step 6: Final answer
    x = 8,230.22

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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.