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Finding the Fourth Proportional to 12,899, 19,348.52 and 3,171

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Solution

The fourth proportional to 12,899, 19,348.52 and 3,171 is: 4,756.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,899 : 19,348.52 = 3,171 : x
  2. Step 2: Convert to fraction form
    12,899/19,348.52 = 3,171/x
  3. Step 3: Cross multiply
    12,899x = 19,348.52 × 3,171
  4. Step 4: Simplify right side
    12,899x = 61,354,156.92
  5. Step 5: Solve for x
    x = 61,354,156.92/12,899
  6. Step 6: Final answer
    x = 4,756.50

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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.