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Finding the Fourth Proportional to 15,175.11, 20,941.74 and 8,461.16

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Solution

The fourth proportional to 15,175.11, 20,941.74 and 8,461.16 is: 11,676.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,175.11 : 20,941.74 = 8,461.16 : x
  2. Step 2: Convert to fraction form
    15,175.11/20,941.74 = 8,461.16/x
  3. Step 3: Cross multiply
    15,175.11x = 20,941.74 × 8,461.16
  4. Step 4: Simplify right side
    15,175.11x = 177,191,412.82
  5. Step 5: Solve for x
    x = 177,191,412.82/15,175.11
  6. Step 6: Final answer
    x = 11,676.45

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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.