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Finding the Fourth Proportional to 15,137.16, 20,878.11 and 10,422.96

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Solution

The fourth proportional to 15,137.16, 20,878.11 and 10,422.96 is: 14,375.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,137.16 : 20,878.11 = 10,422.96 : x
  2. Step 2: Convert to fraction form
    15,137.16/20,878.11 = 10,422.96/x
  3. Step 3: Cross multiply
    15,137.16x = 20,878.11 × 10,422.96
  4. Step 4: Simplify right side
    15,137.16x = 217,611,705.41
  5. Step 5: Solve for x
    x = 217,611,705.41/15,137.16
  6. Step 6: Final answer
    x = 14,375.99

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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.