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Finding the Fourth Proportional to 17,931.78, 26,872.97 and 9,148.34

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Solution

The fourth proportional to 17,931.78, 26,872.97 and 9,148.34 is: 13,709.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,931.78 : 26,872.97 = 9,148.34 : x
  2. Step 2: Convert to fraction form
    17,931.78/26,872.97 = 9,148.34/x
  3. Step 3: Cross multiply
    17,931.78x = 26,872.97 × 9,148.34
  4. Step 4: Simplify right side
    17,931.78x = 245,843,087.81
  5. Step 5: Solve for x
    x = 245,843,087.81/17,931.78
  6. Step 6: Final answer
    x = 13,709.91

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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.