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Finding the Fourth Proportional to 21,647.16, 32,465.16 and 8,499.60

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Solution

The fourth proportional to 21,647.16, 32,465.16 and 8,499.60 is: 12,747.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,647.16 : 32,465.16 = 8,499.60 : x
  2. Step 2: Convert to fraction form
    21,647.16/32,465.16 = 8,499.60/x
  3. Step 3: Cross multiply
    21,647.16x = 32,465.16 × 8,499.60
  4. Step 4: Simplify right side
    21,647.16x = 275,940,873.94
  5. Step 5: Solve for x
    x = 275,940,873.94/21,647.16
  6. Step 6: Final answer
    x = 12,747.21

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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.