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Finding the Fourth Proportional to 13,772.92, 20,659.20 and 3,384.76

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Solution

The fourth proportional to 13,772.92, 20,659.20 and 3,384.76 is: 5,077.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,772.92 : 20,659.20 = 3,384.76 : x
  2. Step 2: Convert to fraction form
    13,772.92/20,659.20 = 3,384.76/x
  3. Step 3: Cross multiply
    13,772.92x = 20,659.20 × 3,384.76
  4. Step 4: Simplify right side
    13,772.92x = 69,926,433.79
  5. Step 5: Solve for x
    x = 69,926,433.79/13,772.92
  6. Step 6: Final answer
    x = 5,077.10

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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.