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Finding the Fourth Proportional to 20,539, 30,808.51 and 8,064.90

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Solution

The fourth proportional to 20,539, 30,808.51 and 8,064.90 is: 12,097.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,539 : 30,808.51 = 8,064.90 : x
  2. Step 2: Convert to fraction form
    20,539/30,808.51 = 8,064.90/x
  3. Step 3: Cross multiply
    20,539x = 30,808.51 × 8,064.90
  4. Step 4: Simplify right side
    20,539x = 248,467,552.30
  5. Step 5: Solve for x
    x = 248,467,552.30/20,539
  6. Step 6: Final answer
    x = 12,097.35

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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.