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Finding the Fourth Proportional to 7,163.78, 10,687.50 and 6,776.26

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Solution

The fourth proportional to 7,163.78, 10,687.50 and 6,776.26 is: 10,109.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,163.78 : 10,687.50 = 6,776.26 : x
  2. Step 2: Convert to fraction form
    7,163.78/10,687.50 = 6,776.26/x
  3. Step 3: Cross multiply
    7,163.78x = 10,687.50 × 6,776.26
  4. Step 4: Simplify right side
    7,163.78x = 72,421,278.75
  5. Step 5: Solve for x
    x = 72,421,278.75/7,163.78
  6. Step 6: Final answer
    x = 10,109.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.