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Finding the Fourth Proportional to 20,497.32, 30,745.98 and 15,824.15

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Solution

The fourth proportional to 20,497.32, 30,745.98 and 15,824.15 is: 23,736.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,497.32 : 30,745.98 = 15,824.15 : x
  2. Step 2: Convert to fraction form
    20,497.32/30,745.98 = 15,824.15/x
  3. Step 3: Cross multiply
    20,497.32x = 30,745.98 × 15,824.15
  4. Step 4: Simplify right side
    20,497.32x = 486,528,971.44
  5. Step 5: Solve for x
    x = 486,528,971.44/20,497.32
  6. Step 6: Final answer
    x = 23,736.23

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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.