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Finding the Fourth Proportional to 13,899, 19,180.62 and 8,931

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Solution

The fourth proportional to 13,899, 19,180.62 and 8,931 is: 12,324.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,899 : 19,180.62 = 8,931 : x
  2. Step 2: Convert to fraction form
    13,899/19,180.62 = 8,931/x
  3. Step 3: Cross multiply
    13,899x = 19,180.62 × 8,931
  4. Step 4: Simplify right side
    13,899x = 171,302,117.22
  5. Step 5: Solve for x
    x = 171,302,117.22/13,899
  6. Step 6: Final answer
    x = 12,324.78

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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.