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Finding the Fourth Proportional to 7,874.78, 11,796.19 and 3,652.07

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Solution

The fourth proportional to 7,874.78, 11,796.19 and 3,652.07 is: 5,470.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,874.78 : 11,796.19 = 3,652.07 : x
  2. Step 2: Convert to fraction form
    7,874.78/11,796.19 = 3,652.07/x
  3. Step 3: Cross multiply
    7,874.78x = 11,796.19 × 3,652.07
  4. Step 4: Simplify right side
    7,874.78x = 43,080,443.50
  5. Step 5: Solve for x
    x = 43,080,443.50/7,874.78
  6. Step 6: Final answer
    x = 5,470.69

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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.