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Finding the Fourth Proportional to 16,917, 25,384.38 and 6,929.16

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Solution

The fourth proportional to 16,917, 25,384.38 and 6,929.16 is: 10,397.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,917 : 25,384.38 = 6,929.16 : x
  2. Step 2: Convert to fraction form
    16,917/25,384.38 = 6,929.16/x
  3. Step 3: Cross multiply
    16,917x = 25,384.38 × 6,929.16
  4. Step 4: Simplify right side
    16,917x = 175,892,430.52
  5. Step 5: Solve for x
    x = 175,892,430.52/16,917
  6. Step 6: Final answer
    x = 10,397.38

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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.