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Finding the Fourth Proportional to 12,671.20, 19,006.50 and 3,437.20

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Solution

The fourth proportional to 12,671.20, 19,006.50 and 3,437.20 is: 5,155.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,671.20 : 19,006.50 = 3,437.20 : x
  2. Step 2: Convert to fraction form
    12,671.20/19,006.50 = 3,437.20/x
  3. Step 3: Cross multiply
    12,671.20x = 19,006.50 × 3,437.20
  4. Step 4: Simplify right side
    12,671.20x = 65,329,141.80
  5. Step 5: Solve for x
    x = 65,329,141.80/12,671.20
  6. Step 6: Final answer
    x = 5,155.72

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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.