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Finding the Fourth Proportional to 18,261.66, 25,205.91 and 10,709.10

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Solution

The fourth proportional to 18,261.66, 25,205.91 and 10,709.10 is: 14,781.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,261.66 : 25,205.91 = 10,709.10 : x
  2. Step 2: Convert to fraction form
    18,261.66/25,205.91 = 10,709.10/x
  3. Step 3: Cross multiply
    18,261.66x = 25,205.91 × 10,709.10
  4. Step 4: Simplify right side
    18,261.66x = 269,932,610.78
  5. Step 5: Solve for x
    x = 269,932,610.78/18,261.66
  6. Step 6: Final answer
    x = 14,781.38

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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.