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Finding the Fourth Proportional to 8,066.92, 11,118.18 and 7,842.28

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Solution

The fourth proportional to 8,066.92, 11,118.18 and 7,842.28 is: 10,808.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,066.92 : 11,118.18 = 7,842.28 : x
  2. Step 2: Convert to fraction form
    8,066.92/11,118.18 = 7,842.28/x
  3. Step 3: Cross multiply
    8,066.92x = 11,118.18 × 7,842.28
  4. Step 4: Simplify right side
    8,066.92x = 87,191,880.65
  5. Step 5: Solve for x
    x = 87,191,880.65/8,066.92
  6. Step 6: Final answer
    x = 10,808.57

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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.