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Finding the Fourth Proportional to 15,906.15, 21,948.98 and 9,190.85

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Solution

The fourth proportional to 15,906.15, 21,948.98 and 9,190.85 is: 12,682.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,906.15 : 21,948.98 = 9,190.85 : x
  2. Step 2: Convert to fraction form
    15,906.15/21,948.98 = 9,190.85/x
  3. Step 3: Cross multiply
    15,906.15x = 21,948.98 × 9,190.85
  4. Step 4: Simplify right side
    15,906.15x = 201,729,627.13
  5. Step 5: Solve for x
    x = 201,729,627.13/15,906.15
  6. Step 6: Final answer
    x = 12,682.49

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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.