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Finding the Fourth Proportional to 20,662.80, 31,001.40 and 8,984.40

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Solution

The fourth proportional to 20,662.80, 31,001.40 and 8,984.40 is: 13,479.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,662.80 : 31,001.40 = 8,984.40 : x
  2. Step 2: Convert to fraction form
    20,662.80/31,001.40 = 8,984.40/x
  3. Step 3: Cross multiply
    20,662.80x = 31,001.40 × 8,984.40
  4. Step 4: Simplify right side
    20,662.80x = 278,528,978.16
  5. Step 5: Solve for x
    x = 278,528,978.16/20,662.80
  6. Step 6: Final answer
    x = 13,479.73

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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.