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Finding the Fourth Proportional to 21,828.16, 32,745.76 and 8,680.64

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Solution

The fourth proportional to 21,828.16, 32,745.76 and 8,680.64 is: 13,022.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,828.16 : 32,745.76 = 8,680.64 : x
  2. Step 2: Convert to fraction form
    21,828.16/32,745.76 = 8,680.64/x
  3. Step 3: Cross multiply
    21,828.16x = 32,745.76 × 8,680.64
  4. Step 4: Simplify right side
    21,828.16x = 284,254,154.09
  5. Step 5: Solve for x
    x = 284,254,154.09/21,828.16
  6. Step 6: Final answer
    x = 13,022.36

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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.