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Finding the Fourth Proportional to 7,295.80, 10,945.26 and 2,678.80

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Solution

The fourth proportional to 7,295.80, 10,945.26 and 2,678.80 is: 4,018.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,295.80 : 10,945.26 = 2,678.80 : x
  2. Step 2: Convert to fraction form
    7,295.80/10,945.26 = 2,678.80/x
  3. Step 3: Cross multiply
    7,295.80x = 10,945.26 × 2,678.80
  4. Step 4: Simplify right side
    7,295.80x = 29,320,162.49
  5. Step 5: Solve for x
    x = 29,320,162.49/7,295.80
  6. Step 6: Final answer
    x = 4,018.77

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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.