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Finding the Fourth Proportional to 6,622.74, 9,140.16 and 3,971.61

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Solution

The fourth proportional to 6,622.74, 9,140.16 and 3,971.61 is: 5,481.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,622.74 : 9,140.16 = 3,971.61 : x
  2. Step 2: Convert to fraction form
    6,622.74/9,140.16 = 3,971.61/x
  3. Step 3: Cross multiply
    6,622.74x = 9,140.16 × 3,971.61
  4. Step 4: Simplify right side
    6,622.74x = 36,301,150.86
  5. Step 5: Solve for x
    x = 36,301,150.86/6,622.74
  6. Step 6: Final answer
    x = 5,481.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.