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Finding the Fourth Proportional to 15,130.44, 20,878.02 and 8,414.73

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Solution

The fourth proportional to 15,130.44, 20,878.02 and 8,414.73 is: 11,611.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,130.44 : 20,878.02 = 8,414.73 : x
  2. Step 2: Convert to fraction form
    15,130.44/20,878.02 = 8,414.73/x
  3. Step 3: Cross multiply
    15,130.44x = 20,878.02 × 8,414.73
  4. Step 4: Simplify right side
    15,130.44x = 175,682,901.23
  5. Step 5: Solve for x
    x = 175,682,901.23/15,130.44
  6. Step 6: Final answer
    x = 11,611.22

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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.