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Finding the Fourth Proportional to 7,165.78, 10,747.86 and 2,235

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Solution

The fourth proportional to 7,165.78, 10,747.86 and 2,235 is: 3,352.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,165.78 : 10,747.86 = 2,235 : x
  2. Step 2: Convert to fraction form
    7,165.78/10,747.86 = 2,235/x
  3. Step 3: Cross multiply
    7,165.78x = 10,747.86 × 2,235
  4. Step 4: Simplify right side
    7,165.78x = 24,021,467.10
  5. Step 5: Solve for x
    x = 24,021,467.10/7,165.78
  6. Step 6: Final answer
    x = 3,352.25

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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.