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Finding the Fourth Proportional to 15,917, 23,890.08 and 8,131.28

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Solution

The fourth proportional to 15,917, 23,890.08 and 8,131.28 is: 12,204.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,917 : 23,890.08 = 8,131.28 : x
  2. Step 2: Convert to fraction form
    15,917/23,890.08 = 8,131.28/x
  3. Step 3: Cross multiply
    15,917x = 23,890.08 × 8,131.28
  4. Step 4: Simplify right side
    15,917x = 194,256,929.70
  5. Step 5: Solve for x
    x = 194,256,929.70/15,917
  6. Step 6: Final answer
    x = 12,204.37

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1.5x scale

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.