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Finding the Fourth Proportional to 7,715.67, 11,571.10 and 2,784.66

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Solution

The fourth proportional to 7,715.67, 11,571.10 and 2,784.66 is: 4,176.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,715.67 : 11,571.10 = 2,784.66 : x
  2. Step 2: Convert to fraction form
    7,715.67/11,571.10 = 2,784.66/x
  3. Step 3: Cross multiply
    7,715.67x = 11,571.10 × 2,784.66
  4. Step 4: Simplify right side
    7,715.67x = 32,221,579.33
  5. Step 5: Solve for x
    x = 32,221,579.33/7,715.67
  6. Step 6: Final answer
    x = 4,176.12

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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.