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Finding the Fourth Proportional to 12,187, 18,319.68 and 11,320.40

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Solution

The fourth proportional to 12,187, 18,319.68 and 11,320.40 is: 17,016.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,187 : 18,319.68 = 11,320.40 : x
  2. Step 2: Convert to fraction form
    12,187/18,319.68 = 11,320.40/x
  3. Step 3: Cross multiply
    12,187x = 18,319.68 × 11,320.40
  4. Step 4: Simplify right side
    12,187x = 207,386,105.47
  5. Step 5: Solve for x
    x = 207,386,105.47/12,187
  6. Step 6: Final answer
    x = 17,016.99

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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.