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Finding the Fourth Proportional to 25,099, 34,637.76 and 13,921

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Solution

The fourth proportional to 25,099, 34,637.76 and 13,921 is: 19,211.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,099 : 34,637.76 = 13,921 : x
  2. Step 2: Convert to fraction form
    25,099/34,637.76 = 13,921/x
  3. Step 3: Cross multiply
    25,099x = 34,637.76 × 13,921
  4. Step 4: Simplify right side
    25,099x = 482,192,256.96
  5. Step 5: Solve for x
    x = 482,192,256.96/25,099
  6. Step 6: Final answer
    x = 19,211.61

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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.