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Finding the Fourth Proportional to 15,175.28, 20,941.95 and 8,461.02

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Solution

The fourth proportional to 15,175.28, 20,941.95 and 8,461.02 is: 11,676.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,175.28 : 20,941.95 = 8,461.02 : x
  2. Step 2: Convert to fraction form
    15,175.28/20,941.95 = 8,461.02/x
  3. Step 3: Cross multiply
    15,175.28x = 20,941.95 × 8,461.02
  4. Step 4: Simplify right side
    15,175.28x = 177,190,257.79
  5. Step 5: Solve for x
    x = 177,190,257.79/15,175.28
  6. Step 6: Final answer
    x = 11,676.25

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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.