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Finding the Fourth Proportional to 11,615.22, 16,029.03 and 6,309.92

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Solution

The fourth proportional to 11,615.22, 16,029.03 and 6,309.92 is: 8,707.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,615.22 : 16,029.03 = 6,309.92 : x
  2. Step 2: Convert to fraction form
    11,615.22/16,029.03 = 6,309.92/x
  3. Step 3: Cross multiply
    11,615.22x = 16,029.03 × 6,309.92
  4. Step 4: Simplify right side
    11,615.22x = 101,141,896.98
  5. Step 5: Solve for x
    x = 101,141,896.98/11,615.22
  6. Step 6: Final answer
    x = 8,707.70

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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.