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Finding the Fourth Proportional to 10,081.80, 15,138.90 and 7,619.40

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Solution

The fourth proportional to 10,081.80, 15,138.90 and 7,619.40 is: 11,441.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,081.80 : 15,138.90 = 7,619.40 : x
  2. Step 2: Convert to fraction form
    10,081.80/15,138.90 = 7,619.40/x
  3. Step 3: Cross multiply
    10,081.80x = 15,138.90 × 7,619.40
  4. Step 4: Simplify right side
    10,081.80x = 115,349,334.66
  5. Step 5: Solve for x
    x = 115,349,334.66/10,081.80
  6. Step 6: Final answer
    x = 11,441.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.