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Finding the Fourth Proportional to 7,110.88, 10,644 and 5,162.56

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Solution

The fourth proportional to 7,110.88, 10,644 and 5,162.56 is: 7,727.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,110.88 : 10,644 = 5,162.56 : x
  2. Step 2: Convert to fraction form
    7,110.88/10,644 = 5,162.56/x
  3. Step 3: Cross multiply
    7,110.88x = 10,644 × 5,162.56
  4. Step 4: Simplify right side
    7,110.88x = 54,950,288.64
  5. Step 5: Solve for x
    x = 54,950,288.64/7,110.88
  6. Step 6: Final answer
    x = 7,727.64

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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.