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Finding the Fourth Proportional to 7,817.88, 11,699.12 and 6,895.24

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Solution

The fourth proportional to 7,817.88, 11,699.12 and 6,895.24 is: 10,318.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,817.88 : 11,699.12 = 6,895.24 : x
  2. Step 2: Convert to fraction form
    7,817.88/11,699.12 = 6,895.24/x
  3. Step 3: Cross multiply
    7,817.88x = 11,699.12 × 6,895.24
  4. Step 4: Simplify right side
    7,817.88x = 80,668,189.39
  5. Step 5: Solve for x
    x = 80,668,189.39/7,817.88
  6. Step 6: Final answer
    x = 10,318.43

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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.