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Finding the Fourth Proportional to 7,502.88, 11,278.62 and 6,961.80

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Solution

The fourth proportional to 7,502.88, 11,278.62 and 6,961.80 is: 10,465.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,502.88 : 11,278.62 = 6,961.80 : x
  2. Step 2: Convert to fraction form
    7,502.88/11,278.62 = 6,961.80/x
  3. Step 3: Cross multiply
    7,502.88x = 11,278.62 × 6,961.80
  4. Step 4: Simplify right side
    7,502.88x = 78,519,496.72
  5. Step 5: Solve for x
    x = 78,519,496.72/7,502.88
  6. Step 6: Final answer
    x = 10,465.25

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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.