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Finding the Fourth Proportional to 20,678.52, 31,022.60 and 6,827.52

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Solution

The fourth proportional to 20,678.52, 31,022.60 and 6,827.52 is: 10,242.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,678.52 : 31,022.60 = 6,827.52 : x
  2. Step 2: Convert to fraction form
    20,678.52/31,022.60 = 6,827.52/x
  3. Step 3: Cross multiply
    20,678.52x = 31,022.60 × 6,827.52
  4. Step 4: Simplify right side
    20,678.52x = 211,807,421.95
  5. Step 5: Solve for x
    x = 211,807,421.95/20,678.52
  6. Step 6: Final answer
    x = 10,242.87

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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.