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Finding the Fourth Proportional to 11,615.83, 16,029.78 and 6,310.54

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Solution

The fourth proportional to 11,615.83, 16,029.78 and 6,310.54 is: 8,708.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,615.83 : 16,029.78 = 6,310.54 : x
  2. Step 2: Convert to fraction form
    11,615.83/16,029.78 = 6,310.54/x
  3. Step 3: Cross multiply
    11,615.83x = 16,029.78 × 6,310.54
  4. Step 4: Simplify right side
    11,615.83x = 101,156,567.88
  5. Step 5: Solve for x
    x = 101,156,567.88/11,615.83
  6. Step 6: Final answer
    x = 8,708.51

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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.