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Finding the Fourth Proportional to 25,172, 34,737.48 and 13,994

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Solution

The fourth proportional to 25,172, 34,737.48 and 13,994 is: 19,311.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,172 : 34,737.48 = 13,994 : x
  2. Step 2: Convert to fraction form
    25,172/34,737.48 = 13,994/x
  3. Step 3: Cross multiply
    25,172x = 34,737.48 × 13,994
  4. Step 4: Simplify right side
    25,172x = 486,116,295.12
  5. Step 5: Solve for x
    x = 486,116,295.12/25,172
  6. Step 6: Final answer
    x = 19,311.79

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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.