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Finding the Fourth Proportional to 20,497.21, 30,739.72 and 8,807.70

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Solution

The fourth proportional to 20,497.21, 30,739.72 and 8,807.70 is: 13,208.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,497.21 : 30,739.72 = 8,807.70 : x
  2. Step 2: Convert to fraction form
    20,497.21/30,739.72 = 8,807.70/x
  3. Step 3: Cross multiply
    20,497.21x = 30,739.72 × 8,807.70
  4. Step 4: Simplify right side
    20,497.21x = 270,746,231.84
  5. Step 5: Solve for x
    x = 270,746,231.84/20,497.21
  6. Step 6: Final answer
    x = 13,208.93

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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.