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Finding the Fourth Proportional to 11,901.78, 17,833.23 and 7,505.10

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Solution

The fourth proportional to 11,901.78, 17,833.23 and 7,505.10 is: 11,245.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,901.78 : 17,833.23 = 7,505.10 : x
  2. Step 2: Convert to fraction form
    11,901.78/17,833.23 = 7,505.10/x
  3. Step 3: Cross multiply
    11,901.78x = 17,833.23 × 7,505.10
  4. Step 4: Simplify right side
    11,901.78x = 133,840,174.47
  5. Step 5: Solve for x
    x = 133,840,174.47/11,901.78
  6. Step 6: Final answer
    x = 11,245.39

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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.