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Finding the Fourth Proportional to 13,797.72, 20,709.51 and 6,782.78

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Solution

The fourth proportional to 13,797.72, 20,709.51 and 6,782.78 is: 10,180.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,797.72 : 20,709.51 = 6,782.78 : x
  2. Step 2: Convert to fraction form
    13,797.72/20,709.51 = 6,782.78/x
  3. Step 3: Cross multiply
    13,797.72x = 20,709.51 × 6,782.78
  4. Step 4: Simplify right side
    13,797.72x = 140,467,959.58
  5. Step 5: Solve for x
    x = 140,467,959.58/13,797.72
  6. Step 6: Final answer
    x = 10,180.52

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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.