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Finding the Fourth Proportional to 12,780.68, 19,171.92 and 3,420.68

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Solution

The fourth proportional to 12,780.68, 19,171.92 and 3,420.68 is: 5,131.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,780.68 : 19,171.92 = 3,420.68 : x
  2. Step 2: Convert to fraction form
    12,780.68/19,171.92 = 3,420.68/x
  3. Step 3: Cross multiply
    12,780.68x = 19,171.92 × 3,420.68
  4. Step 4: Simplify right side
    12,780.68x = 65,581,003.31
  5. Step 5: Solve for x
    x = 65,581,003.31/12,780.68
  6. Step 6: Final answer
    x = 5,131.26

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1.5x scale

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.