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Finding the Fourth Proportional to 20,649, 30,968.87 and 5,857.59

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Solution

The fourth proportional to 20,649, 30,968.87 and 5,857.59 is: 8,785.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,649 : 30,968.87 = 5,857.59 : x
  2. Step 2: Convert to fraction form
    20,649/30,968.87 = 5,857.59/x
  3. Step 3: Cross multiply
    20,649x = 30,968.87 × 5,857.59
  4. Step 4: Simplify right side
    20,649x = 181,402,913.94
  5. Step 5: Solve for x
    x = 181,402,913.94/20,649
  6. Step 6: Final answer
    x = 8,785.07

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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.