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Finding the Fourth Proportional to 16,940, 25,385.40 and 12,019.25

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Solution

The fourth proportional to 16,940, 25,385.40 and 12,019.25 is: 18,011.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,940 : 25,385.40 = 12,019.25 : x
  2. Step 2: Convert to fraction form
    16,940/25,385.40 = 12,019.25/x
  3. Step 3: Cross multiply
    16,940x = 25,385.40 × 12,019.25
  4. Step 4: Simplify right side
    16,940x = 305,113,468.95
  5. Step 5: Solve for x
    x = 305,113,468.95/16,940
  6. Step 6: Final answer
    x = 18,011.42

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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.