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Finding the Fourth Proportional to 10,634.34, 15,954.78 and 5,443.86

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Solution

The fourth proportional to 10,634.34, 15,954.78 and 5,443.86 is: 8,167.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,634.34 : 15,954.78 = 5,443.86 : x
  2. Step 2: Convert to fraction form
    10,634.34/15,954.78 = 5,443.86/x
  3. Step 3: Cross multiply
    10,634.34x = 15,954.78 × 5,443.86
  4. Step 4: Simplify right side
    10,634.34x = 86,855,588.65
  5. Step 5: Solve for x
    x = 86,855,588.65/10,634.34
  6. Step 6: Final answer
    x = 8,167.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.