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Finding the Fourth Proportional to 21,900.40, 32,843.40 and 8,047.60

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Solution

The fourth proportional to 21,900.40, 32,843.40 and 8,047.60 is: 12,068.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,900.40 : 32,843.40 = 8,047.60 : x
  2. Step 2: Convert to fraction form
    21,900.40/32,843.40 = 8,047.60/x
  3. Step 3: Cross multiply
    21,900.40x = 32,843.40 × 8,047.60
  4. Step 4: Simplify right side
    21,900.40x = 264,310,545.84
  5. Step 5: Solve for x
    x = 264,310,545.84/21,900.40
  6. Step 6: Final answer
    x = 12,068.75

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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.