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Finding the Fourth Proportional to 18,117.90, 27,187.50 and 7,024.02

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Solution

The fourth proportional to 18,117.90, 27,187.50 and 7,024.02 is: 10,540.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,117.90 : 27,187.50 = 7,024.02 : x
  2. Step 2: Convert to fraction form
    18,117.90/27,187.50 = 7,024.02/x
  3. Step 3: Cross multiply
    18,117.90x = 27,187.50 × 7,024.02
  4. Step 4: Simplify right side
    18,117.90x = 190,965,543.75
  5. Step 5: Solve for x
    x = 190,965,543.75/18,117.90
  6. Step 6: Final answer
    x = 10,540.16

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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.