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Finding the Fourth Proportional to 21,917.60, 32,854.80 and 10,815.20

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Solution

The fourth proportional to 21,917.60, 32,854.80 and 10,815.20 is: 16,212.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,917.60 : 32,854.80 = 10,815.20 : x
  2. Step 2: Convert to fraction form
    21,917.60/32,854.80 = 10,815.20/x
  3. Step 3: Cross multiply
    21,917.60x = 32,854.80 × 10,815.20
  4. Step 4: Simplify right side
    21,917.60x = 355,331,232.96
  5. Step 5: Solve for x
    x = 355,331,232.96/21,917.60
  6. Step 6: Final answer
    x = 16,212.14

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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.