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Finding the Fourth Proportional to 11,906.61, 16,430.92 and 6,601.30

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Solution

The fourth proportional to 11,906.61, 16,430.92 and 6,601.30 is: 9,109.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,906.61 : 16,430.92 = 6,601.30 : x
  2. Step 2: Convert to fraction form
    11,906.61/16,430.92 = 6,601.30/x
  3. Step 3: Cross multiply
    11,906.61x = 16,430.92 × 6,601.30
  4. Step 4: Simplify right side
    11,906.61x = 108,465,432.20
  5. Step 5: Solve for x
    x = 108,465,432.20/11,906.61
  6. Step 6: Final answer
    x = 9,109.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.