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Finding the Fourth Proportional to 11,905.78, 17,839.22 and 7,509.10

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Solution

The fourth proportional to 11,905.78, 17,839.22 and 7,509.10 is: 11,251.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,905.78 : 17,839.22 = 7,509.10 : x
  2. Step 2: Convert to fraction form
    11,905.78/17,839.22 = 7,509.10/x
  3. Step 3: Cross multiply
    11,905.78x = 17,839.22 × 7,509.10
  4. Step 4: Simplify right side
    11,905.78x = 133,956,486.90
  5. Step 5: Solve for x
    x = 133,956,486.90/11,905.78
  6. Step 6: Final answer
    x = 11,251.38

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1.5x scale

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.