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Finding the Fourth Proportional to 10,286.67, 15,430 and 2,495.48

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Solution

The fourth proportional to 10,286.67, 15,430 and 2,495.48 is: 3,743.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,286.67 : 15,430 = 2,495.48 : x
  2. Step 2: Convert to fraction form
    10,286.67/15,430 = 2,495.48/x
  3. Step 3: Cross multiply
    10,286.67x = 15,430 × 2,495.48
  4. Step 4: Simplify right side
    10,286.67x = 38,505,256.40
  5. Step 5: Solve for x
    x = 38,505,256.40/10,286.67
  6. Step 6: Final answer
    x = 3,743.22

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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.