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Finding the Fourth Proportional to 13,102.70, 18,081.77 and 7,134.38

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Solution

The fourth proportional to 13,102.70, 18,081.77 and 7,134.38 is: 9,845.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,102.70 : 18,081.77 = 7,134.38 : x
  2. Step 2: Convert to fraction form
    13,102.70/18,081.77 = 7,134.38/x
  3. Step 3: Cross multiply
    13,102.70x = 18,081.77 × 7,134.38
  4. Step 4: Simplify right side
    13,102.70x = 129,002,092.17
  5. Step 5: Solve for x
    x = 129,002,092.17/13,102.70
  6. Step 6: Final answer
    x = 9,845.46

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1.5x scale

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.