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Finding the Fourth Proportional to 8,166.72, 11,293.80 and 8,019.12

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Solution

The fourth proportional to 8,166.72, 11,293.80 and 8,019.12 is: 11,089.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,166.72 : 11,293.80 = 8,019.12 : x
  2. Step 2: Convert to fraction form
    8,166.72/11,293.80 = 8,019.12/x
  3. Step 3: Cross multiply
    8,166.72x = 11,293.80 × 8,019.12
  4. Step 4: Simplify right side
    8,166.72x = 90,566,337.46
  5. Step 5: Solve for x
    x = 90,566,337.46/8,166.72
  6. Step 6: Final answer
    x = 11,089.68

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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.