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Finding the Fourth Proportional to 12,761.60, 19,101.44 and 6,823.64

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Solution

The fourth proportional to 12,761.60, 19,101.44 and 6,823.64 is: 10,213.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,761.60 : 19,101.44 = 6,823.64 : x
  2. Step 2: Convert to fraction form
    12,761.60/19,101.44 = 6,823.64/x
  3. Step 3: Cross multiply
    12,761.60x = 19,101.44 × 6,823.64
  4. Step 4: Simplify right side
    12,761.60x = 130,341,350.04
  5. Step 5: Solve for x
    x = 130,341,350.04/12,761.60
  6. Step 6: Final answer
    x = 10,213.56

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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.