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Finding the Fourth Proportional to 17,771.68, 26,652.12 and 7,381

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Solution

The fourth proportional to 17,771.68, 26,652.12 and 7,381 is: 11,069.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,771.68 : 26,652.12 = 7,381 : x
  2. Step 2: Convert to fraction form
    17,771.68/26,652.12 = 7,381/x
  3. Step 3: Cross multiply
    17,771.68x = 26,652.12 × 7,381
  4. Step 4: Simplify right side
    17,771.68x = 196,719,297.72
  5. Step 5: Solve for x
    x = 196,719,297.72/17,771.68
  6. Step 6: Final answer
    x = 11,069.26

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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.