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Finding the Fourth Proportional to 10,979.70, 16,474.95 and 8,346.30

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Solution

The fourth proportional to 10,979.70, 16,474.95 and 8,346.30 is: 12,523.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,979.70 : 16,474.95 = 8,346.30 : x
  2. Step 2: Convert to fraction form
    10,979.70/16,474.95 = 8,346.30/x
  3. Step 3: Cross multiply
    10,979.70x = 16,474.95 × 8,346.30
  4. Step 4: Simplify right side
    10,979.70x = 137,504,875.19
  5. Step 5: Solve for x
    x = 137,504,875.19/10,979.70
  6. Step 6: Final answer
    x = 12,523.55

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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.