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Finding the Fourth Proportional to 12,991.80, 19,489.74 and 4,224.66

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Solution

The fourth proportional to 12,991.80, 19,489.74 and 4,224.66 is: 6,337.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,991.80 : 19,489.74 = 4,224.66 : x
  2. Step 2: Convert to fraction form
    12,991.80/19,489.74 = 4,224.66/x
  3. Step 3: Cross multiply
    12,991.80x = 19,489.74 × 4,224.66
  4. Step 4: Simplify right side
    12,991.80x = 82,337,503.87
  5. Step 5: Solve for x
    x = 82,337,503.87/12,991.80
  6. Step 6: Final answer
    x = 6,337.65

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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.