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Finding the Fourth Proportional to 25,199, 34,774 and 13,868.72

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Solution

The fourth proportional to 25,199, 34,774 and 13,868.72 is: 19,138.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,199 : 34,774 = 13,868.72 : x
  2. Step 2: Convert to fraction form
    25,199/34,774 = 13,868.72/x
  3. Step 3: Cross multiply
    25,199x = 34,774 × 13,868.72
  4. Step 4: Simplify right side
    25,199x = 482,270,869.28
  5. Step 5: Solve for x
    x = 482,270,869.28/25,199
  6. Step 6: Final answer
    x = 19,138.49

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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.