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Finding the Fourth Proportional to 13,076.38, 18,044.65 and 7,108

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Solution

The fourth proportional to 13,076.38, 18,044.65 and 7,108 is: 9,808.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,076.38 : 18,044.65 = 7,108 : x
  2. Step 2: Convert to fraction form
    13,076.38/18,044.65 = 7,108/x
  3. Step 3: Cross multiply
    13,076.38x = 18,044.65 × 7,108
  4. Step 4: Simplify right side
    13,076.38x = 128,261,372.20
  5. Step 5: Solve for x
    x = 128,261,372.20/13,076.38
  6. Step 6: Final answer
    x = 9,808.63

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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.