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Finding the Fourth Proportional to 18,427.26, 25,428 and 10,249.29

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Solution

The fourth proportional to 18,427.26, 25,428 and 10,249.29 is: 14,143.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,427.26 : 25,428 = 10,249.29 : x
  2. Step 2: Convert to fraction form
    18,427.26/25,428 = 10,249.29/x
  3. Step 3: Cross multiply
    18,427.26x = 25,428 × 10,249.29
  4. Step 4: Simplify right side
    18,427.26x = 260,618,946.12
  5. Step 5: Solve for x
    x = 260,618,946.12/18,427.26
  6. Step 6: Final answer
    x = 14,143.12

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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.