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Finding the Fourth Proportional to 20,217.64, 30,326.46 and 7,897

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Solution

The fourth proportional to 20,217.64, 30,326.46 and 7,897 is: 11,845.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,217.64 : 30,326.46 = 7,897 : x
  2. Step 2: Convert to fraction form
    20,217.64/30,326.46 = 7,897/x
  3. Step 3: Cross multiply
    20,217.64x = 30,326.46 × 7,897
  4. Step 4: Simplify right side
    20,217.64x = 239,488,054.62
  5. Step 5: Solve for x
    x = 239,488,054.62/20,217.64
  6. Step 6: Final answer
    x = 11,845.50

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1.5x scale

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.