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Finding the Fourth Proportional to 10,138.71, 13,993.11 and 9,872.22

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Solution

The fourth proportional to 10,138.71, 13,993.11 and 9,872.22 is: 13,625.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,138.71 : 13,993.11 = 9,872.22 : x
  2. Step 2: Convert to fraction form
    10,138.71/13,993.11 = 9,872.22/x
  3. Step 3: Cross multiply
    10,138.71x = 13,993.11 × 9,872.22
  4. Step 4: Simplify right side
    10,138.71x = 138,143,060.40
  5. Step 5: Solve for x
    x = 138,143,060.40/10,138.71
  6. Step 6: Final answer
    x = 13,625.31

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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.