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Finding the Fourth Proportional to 15,175.64, 20,936.28 and 9,205.14

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Solution

The fourth proportional to 15,175.64, 20,936.28 and 9,205.14 is: 12,699.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,175.64 : 20,936.28 = 9,205.14 : x
  2. Step 2: Convert to fraction form
    15,175.64/20,936.28 = 9,205.14/x
  3. Step 3: Cross multiply
    15,175.64x = 20,936.28 × 9,205.14
  4. Step 4: Simplify right side
    15,175.64x = 192,721,388.48
  5. Step 5: Solve for x
    x = 192,721,388.48/15,175.64
  6. Step 6: Final answer
    x = 12,699.39

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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.