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Finding the Fourth Proportional to 15,161.78, 20,922.71 and 8,447.06

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Solution

The fourth proportional to 15,161.78, 20,922.71 and 8,447.06 is: 11,656.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,161.78 : 20,922.71 = 8,447.06 : x
  2. Step 2: Convert to fraction form
    15,161.78/20,922.71 = 8,447.06/x
  3. Step 3: Cross multiply
    15,161.78x = 20,922.71 × 8,447.06
  4. Step 4: Simplify right side
    15,161.78x = 176,735,337.96
  5. Step 5: Solve for x
    x = 176,735,337.96/15,161.78
  6. Step 6: Final answer
    x = 11,656.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.