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Finding the Fourth Proportional to 13,138, 18,130.82 and 7,170.05

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Solution

The fourth proportional to 13,138, 18,130.82 and 7,170.05 is: 9,894.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,138 : 18,130.82 = 7,170.05 : x
  2. Step 2: Convert to fraction form
    13,138/18,130.82 = 7,170.05/x
  3. Step 3: Cross multiply
    13,138x = 18,130.82 × 7,170.05
  4. Step 4: Simplify right side
    13,138x = 129,998,903.87
  5. Step 5: Solve for x
    x = 129,998,903.87/13,138
  6. Step 6: Final answer
    x = 9,894.88

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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.