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Finding the Fourth Proportional to 21,616.10, 32,420.51 and 8,282.69

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Solution

The fourth proportional to 21,616.10, 32,420.51 and 8,282.69 is: 12,422.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,616.10 : 32,420.51 = 8,282.69 : x
  2. Step 2: Convert to fraction form
    21,616.10/32,420.51 = 8,282.69/x
  3. Step 3: Cross multiply
    21,616.10x = 32,420.51 × 8,282.69
  4. Step 4: Simplify right side
    21,616.10x = 268,528,992.56
  5. Step 5: Solve for x
    x = 268,528,992.56/21,616.10
  6. Step 6: Final answer
    x = 12,422.64

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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.