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Finding the Fourth Proportional to 9,171.67, 12,657.21 and 5,192.71

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Solution

The fourth proportional to 9,171.67, 12,657.21 and 5,192.71 is: 7,166.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,171.67 : 12,657.21 = 5,192.71 : x
  2. Step 2: Convert to fraction form
    9,171.67/12,657.21 = 5,192.71/x
  3. Step 3: Cross multiply
    9,171.67x = 12,657.21 × 5,192.71
  4. Step 4: Simplify right side
    9,171.67x = 65,725,220.94
  5. Step 5: Solve for x
    x = 65,725,220.94/9,171.67
  6. Step 6: Final answer
    x = 7,166.11

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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.