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Finding the Fourth Proportional to 7,171.21, 9,906.24 and 6,820.89

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Solution

The fourth proportional to 7,171.21, 9,906.24 and 6,820.89 is: 9,422.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,171.21 : 9,906.24 = 6,820.89 : x
  2. Step 2: Convert to fraction form
    7,171.21/9,906.24 = 6,820.89/x
  3. Step 3: Cross multiply
    7,171.21x = 9,906.24 × 6,820.89
  4. Step 4: Simplify right side
    7,171.21x = 67,569,373.35
  5. Step 5: Solve for x
    x = 67,569,373.35/7,171.21
  6. Step 6: Final answer
    x = 9,422.31

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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.