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Finding the Fourth Proportional to 7,385.78, 11,078.67 and 5,198.78

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Solution

The fourth proportional to 7,385.78, 11,078.67 and 5,198.78 is: 7,798.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,385.78 : 11,078.67 = 5,198.78 : x
  2. Step 2: Convert to fraction form
    7,385.78/11,078.67 = 5,198.78/x
  3. Step 3: Cross multiply
    7,385.78x = 11,078.67 × 5,198.78
  4. Step 4: Simplify right side
    7,385.78x = 57,595,568.02
  5. Step 5: Solve for x
    x = 57,595,568.02/7,385.78
  6. Step 6: Final answer
    x = 7,798.17

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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.