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Finding the Fourth Proportional to 11,931, 17,903.01 and 5,775

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Solution

The fourth proportional to 11,931, 17,903.01 and 5,775 is: 8,665.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,931 : 17,903.01 = 5,775 : x
  2. Step 2: Convert to fraction form
    11,931/17,903.01 = 5,775/x
  3. Step 3: Cross multiply
    11,931x = 17,903.01 × 5,775
  4. Step 4: Simplify right side
    11,931x = 103,389,882.75
  5. Step 5: Solve for x
    x = 103,389,882.75/11,931
  6. Step 6: Final answer
    x = 8,665.65

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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.