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Finding the Fourth Proportional to 18,438, 25,446.36 and 11,364.24

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Solution

The fourth proportional to 18,438, 25,446.36 and 11,364.24 is: 15,683.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,438 : 25,446.36 = 11,364.24 : x
  2. Step 2: Convert to fraction form
    18,438/25,446.36 = 11,364.24/x
  3. Step 3: Cross multiply
    18,438x = 25,446.36 × 11,364.24
  4. Step 4: Simplify right side
    18,438x = 289,178,542.17
  5. Step 5: Solve for x
    x = 289,178,542.17/18,438
  6. Step 6: Final answer
    x = 15,683.83

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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.