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Finding the Fourth Proportional to 20,291.64, 30,423.60 and 6,961.08

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Solution

The fourth proportional to 20,291.64, 30,423.60 and 6,961.08 is: 10,436.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,291.64 : 30,423.60 = 6,961.08 : x
  2. Step 2: Convert to fraction form
    20,291.64/30,423.60 = 6,961.08/x
  3. Step 3: Cross multiply
    20,291.64x = 30,423.60 × 6,961.08
  4. Step 4: Simplify right side
    20,291.64x = 211,781,113.49
  5. Step 5: Solve for x
    x = 211,781,113.49/20,291.64
  6. Step 6: Final answer
    x = 10,436.87

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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.