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Finding the Fourth Proportional to 18,040, 27,071.07 and 7,651.75

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Solution

The fourth proportional to 18,040, 27,071.07 and 7,651.75 is: 11,482.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,040 : 27,071.07 = 7,651.75 : x
  2. Step 2: Convert to fraction form
    18,040/27,071.07 = 7,651.75/x
  3. Step 3: Cross multiply
    18,040x = 27,071.07 × 7,651.75
  4. Step 4: Simplify right side
    18,040x = 207,141,059.87
  5. Step 5: Solve for x
    x = 207,141,059.87/18,040
  6. Step 6: Final answer
    x = 11,482.32

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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.