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Finding the Fourth Proportional to 18,068.22, 27,102.36 and 11,867.40

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Solution

The fourth proportional to 18,068.22, 27,102.36 and 11,867.40 is: 17,801.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,068.22 : 27,102.36 = 11,867.40 : x
  2. Step 2: Convert to fraction form
    18,068.22/27,102.36 = 11,867.40/x
  3. Step 3: Cross multiply
    18,068.22x = 27,102.36 × 11,867.40
  4. Step 4: Simplify right side
    18,068.22x = 321,634,547.06
  5. Step 5: Solve for x
    x = 321,634,547.06/18,068.22
  6. Step 6: Final answer
    x = 17,801.12

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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.