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Finding the Fourth Proportional to 18,172.85, 27,269.84 and 7,642.10

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Solution

The fourth proportional to 18,172.85, 27,269.84 and 7,642.10 is: 11,467.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,172.85 : 27,269.84 = 7,642.10 : x
  2. Step 2: Convert to fraction form
    18,172.85/27,269.84 = 7,642.10/x
  3. Step 3: Cross multiply
    18,172.85x = 27,269.84 × 7,642.10
  4. Step 4: Simplify right side
    18,172.85x = 208,398,931.54
  5. Step 5: Solve for x
    x = 208,398,931.54/18,172.85
  6. Step 6: Final answer
    x = 11,467.60

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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.