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Finding the Fourth Proportional to 13,138.17, 18,130.94 and 7,170.09

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Solution

The fourth proportional to 13,138.17, 18,130.94 and 7,170.09 is: 9,894.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,138.17 : 18,130.94 = 7,170.09 : x
  2. Step 2: Convert to fraction form
    13,138.17/18,130.94 = 7,170.09/x
  3. Step 3: Cross multiply
    13,138.17x = 18,130.94 × 7,170.09
  4. Step 4: Simplify right side
    13,138.17x = 130,000,435.73
  5. Step 5: Solve for x
    x = 130,000,435.73/13,138.17
  6. Step 6: Final answer
    x = 9,894.87

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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.