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Finding the Fourth Proportional to 20,434.69, 30,652.42 and 5,644

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Solution

The fourth proportional to 20,434.69, 30,652.42 and 5,644 is: 8,466.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,434.69 : 30,652.42 = 5,644 : x
  2. Step 2: Convert to fraction form
    20,434.69/30,652.42 = 5,644/x
  3. Step 3: Cross multiply
    20,434.69x = 30,652.42 × 5,644
  4. Step 4: Simplify right side
    20,434.69x = 173,002,258.48
  5. Step 5: Solve for x
    x = 173,002,258.48/20,434.69
  6. Step 6: Final answer
    x = 8,466.11

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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.