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Finding the Fourth Proportional to 21,923.60, 32,847.60 and 10,212.80

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Solution

The fourth proportional to 21,923.60, 32,847.60 and 10,212.80 is: 15,301.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,923.60 : 32,847.60 = 10,212.80 : x
  2. Step 2: Convert to fraction form
    21,923.60/32,847.60 = 10,212.80/x
  3. Step 3: Cross multiply
    21,923.60x = 32,847.60 × 10,212.80
  4. Step 4: Simplify right side
    21,923.60x = 335,465,969.28
  5. Step 5: Solve for x
    x = 335,465,969.28/21,923.60
  6. Step 6: Final answer
    x = 15,301.59

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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.