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Finding the Fourth Proportional to 8,109.76, 11,192.64 and 7,609.42

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Solution

The fourth proportional to 8,109.76, 11,192.64 and 7,609.42 is: 10,502.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,109.76 : 11,192.64 = 7,609.42 : x
  2. Step 2: Convert to fraction form
    8,109.76/11,192.64 = 7,609.42/x
  3. Step 3: Cross multiply
    8,109.76x = 11,192.64 × 7,609.42
  4. Step 4: Simplify right side
    8,109.76x = 85,169,498.67
  5. Step 5: Solve for x
    x = 85,169,498.67/8,109.76
  6. Step 6: Final answer
    x = 10,502.10

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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.