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Finding the Fourth Proportional to 7,171.24, 9,871.74 and 6,221.44

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Solution

The fourth proportional to 7,171.24, 9,871.74 and 6,221.44 is: 8,564.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,171.24 : 9,871.74 = 6,221.44 : x
  2. Step 2: Convert to fraction form
    7,171.24/9,871.74 = 6,221.44/x
  3. Step 3: Cross multiply
    7,171.24x = 9,871.74 × 6,221.44
  4. Step 4: Simplify right side
    7,171.24x = 61,416,413.43
  5. Step 5: Solve for x
    x = 61,416,413.43/7,171.24
  6. Step 6: Final answer
    x = 8,564.27

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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.