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Finding the Fourth Proportional to 21,978.20, 32,918.70 and 8,823.80

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Solution

The fourth proportional to 21,978.20, 32,918.70 and 8,823.80 is: 13,216.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,978.20 : 32,918.70 = 8,823.80 : x
  2. Step 2: Convert to fraction form
    21,978.20/32,918.70 = 8,823.80/x
  3. Step 3: Cross multiply
    21,978.20x = 32,918.70 × 8,823.80
  4. Step 4: Simplify right side
    21,978.20x = 290,468,025.06
  5. Step 5: Solve for x
    x = 290,468,025.06/21,978.20
  6. Step 6: Final answer
    x = 13,216.19

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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.