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Finding the Fourth Proportional to 21,684.64, 32,578.80 and 13,908.64

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Solution

The fourth proportional to 21,684.64, 32,578.80 and 13,908.64 is: 20,896.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,684.64 : 32,578.80 = 13,908.64 : x
  2. Step 2: Convert to fraction form
    21,684.64/32,578.80 = 13,908.64/x
  3. Step 3: Cross multiply
    21,684.64x = 32,578.80 × 13,908.64
  4. Step 4: Simplify right side
    21,684.64x = 453,126,800.83
  5. Step 5: Solve for x
    x = 453,126,800.83/21,684.64
  6. Step 6: Final answer
    x = 20,896.21

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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.