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Finding the Fourth Proportional to 17,823, 26,724.68 and 12,207.14

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Solution

The fourth proportional to 17,823, 26,724.68 and 12,207.14 is: 18,303.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,823 : 26,724.68 = 12,207.14 : x
  2. Step 2: Convert to fraction form
    17,823/26,724.68 = 12,207.14/x
  3. Step 3: Cross multiply
    17,823x = 26,724.68 × 12,207.14
  4. Step 4: Simplify right side
    17,823x = 326,231,910.22
  5. Step 5: Solve for x
    x = 326,231,910.22/17,823
  6. Step 6: Final answer
    x = 18,303.98

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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.