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Finding the Fourth Proportional to 16,678, 25,017.01 and 7,908.13

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Solution

The fourth proportional to 16,678, 25,017.01 and 7,908.13 is: 11,862.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,678 : 25,017.01 = 7,908.13 : x
  2. Step 2: Convert to fraction form
    16,678/25,017.01 = 7,908.13/x
  3. Step 3: Cross multiply
    16,678x = 25,017.01 × 7,908.13
  4. Step 4: Simplify right side
    16,678x = 197,837,767.29
  5. Step 5: Solve for x
    x = 197,837,767.29/16,678
  6. Step 6: Final answer
    x = 11,862.20

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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.