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Finding the Fourth Proportional to 21,528.63, 32,286.63 and 8,377.86

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Solution

The fourth proportional to 21,528.63, 32,286.63 and 8,377.86 is: 12,564.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,528.63 : 32,286.63 = 8,377.86 : x
  2. Step 2: Convert to fraction form
    21,528.63/32,286.63 = 8,377.86/x
  3. Step 3: Cross multiply
    21,528.63x = 32,286.63 × 8,377.86
  4. Step 4: Simplify right side
    21,528.63x = 270,492,866.01
  5. Step 5: Solve for x
    x = 270,492,866.01/21,528.63
  6. Step 6: Final answer
    x = 12,564.33

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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.