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Finding the Fourth Proportional to 20,559.86, 30,840.41 and 8,083.03

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Solution

The fourth proportional to 20,559.86, 30,840.41 and 8,083.03 is: 12,124.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,559.86 : 30,840.41 = 8,083.03 : x
  2. Step 2: Convert to fraction form
    20,559.86/30,840.41 = 8,083.03/x
  3. Step 3: Cross multiply
    20,559.86x = 30,840.41 × 8,083.03
  4. Step 4: Simplify right side
    20,559.86x = 249,283,959.24
  5. Step 5: Solve for x
    x = 249,283,959.24/20,559.86
  6. Step 6: Final answer
    x = 12,124.79

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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.