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Finding the Fourth Proportional to 7,715.66, 11,579.99 and 7,229.66

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Solution

The fourth proportional to 7,715.66, 11,579.99 and 7,229.66 is: 10,850.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,715.66 : 11,579.99 = 7,229.66 : x
  2. Step 2: Convert to fraction form
    7,715.66/11,579.99 = 7,229.66/x
  3. Step 3: Cross multiply
    7,715.66x = 11,579.99 × 7,229.66
  4. Step 4: Simplify right side
    7,715.66x = 83,719,296.46
  5. Step 5: Solve for x
    x = 83,719,296.46/7,715.66
  6. Step 6: Final answer
    x = 10,850.58

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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.