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Finding the Fourth Proportional to 18,214, 25,135.81 and 10,256.52

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Solution

The fourth proportional to 18,214, 25,135.81 and 10,256.52 is: 14,154.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,214 : 25,135.81 = 10,256.52 : x
  2. Step 2: Convert to fraction form
    18,214/25,135.81 = 10,256.52/x
  3. Step 3: Cross multiply
    18,214x = 25,135.81 × 10,256.52
  4. Step 4: Simplify right side
    18,214x = 257,805,937.98
  5. Step 5: Solve for x
    x = 257,805,937.98/18,214
  6. Step 6: Final answer
    x = 14,154.27

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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.