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Finding the Fourth Proportional to 21,643.52, 32,465.48 and 8,497.20

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Solution

The fourth proportional to 21,643.52, 32,465.48 and 8,497.20 is: 12,745.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,643.52 : 32,465.48 = 8,497.20 : x
  2. Step 2: Convert to fraction form
    21,643.52/32,465.48 = 8,497.20/x
  3. Step 3: Cross multiply
    21,643.52x = 32,465.48 × 8,497.20
  4. Step 4: Simplify right side
    21,643.52x = 275,865,676.66
  5. Step 5: Solve for x
    x = 275,865,676.66/21,643.52
  6. Step 6: Final answer
    x = 12,745.88

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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.