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Finding the Fourth Proportional to 8,723.84, 13,087.92 and 7,166.48

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Solution

The fourth proportional to 8,723.84, 13,087.92 and 7,166.48 is: 10,751.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,723.84 : 13,087.92 = 7,166.48 : x
  2. Step 2: Convert to fraction form
    8,723.84/13,087.92 = 7,166.48/x
  3. Step 3: Cross multiply
    8,723.84x = 13,087.92 × 7,166.48
  4. Step 4: Simplify right side
    8,723.84x = 93,794,316.92
  5. Step 5: Solve for x
    x = 93,794,316.92/8,723.84
  6. Step 6: Final answer
    x = 10,751.49

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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.