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Finding the Fourth Proportional to 18,169.72, 27,263.18 and 7,642.05

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Solution

The fourth proportional to 18,169.72, 27,263.18 and 7,642.05 is: 11,466.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,169.72 : 27,263.18 = 7,642.05 : x
  2. Step 2: Convert to fraction form
    18,169.72/27,263.18 = 7,642.05/x
  3. Step 3: Cross multiply
    18,169.72x = 27,263.18 × 7,642.05
  4. Step 4: Simplify right side
    18,169.72x = 208,346,501.59
  5. Step 5: Solve for x
    x = 208,346,501.59/18,169.72
  6. Step 6: Final answer
    x = 11,466.69

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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.