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Finding the Fourth Proportional to 11,808.12, 17,691.74 and 8,291.45

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Solution

The fourth proportional to 11,808.12, 17,691.74 and 8,291.45 is: 12,422.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,808.12 : 17,691.74 = 8,291.45 : x
  2. Step 2: Convert to fraction form
    11,808.12/17,691.74 = 8,291.45/x
  3. Step 3: Cross multiply
    11,808.12x = 17,691.74 × 8,291.45
  4. Step 4: Simplify right side
    11,808.12x = 146,690,047.71
  5. Step 5: Solve for x
    x = 146,690,047.71/11,808.12
  6. Step 6: Final answer
    x = 12,422.81

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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.