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Finding the Fourth Proportional to 21,781.56, 32,674.36 and 6,788.78

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Solution

The fourth proportional to 21,781.56, 32,674.36 and 6,788.78 is: 10,183.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,781.56 : 32,674.36 = 6,788.78 : x
  2. Step 2: Convert to fraction form
    21,781.56/32,674.36 = 6,788.78/x
  3. Step 3: Cross multiply
    21,781.56x = 32,674.36 × 6,788.78
  4. Step 4: Simplify right side
    21,781.56x = 221,819,041.68
  5. Step 5: Solve for x
    x = 221,819,041.68/21,781.56
  6. Step 6: Final answer
    x = 10,183.80

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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.