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Finding the Fourth Proportional to 11,650.72, 16,078.38 and 6,615.16

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Solution

The fourth proportional to 11,650.72, 16,078.38 and 6,615.16 is: 9,129.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,650.72 : 16,078.38 = 6,615.16 : x
  2. Step 2: Convert to fraction form
    11,650.72/16,078.38 = 6,615.16/x
  3. Step 3: Cross multiply
    11,650.72x = 16,078.38 × 6,615.16
  4. Step 4: Simplify right side
    11,650.72x = 106,361,056.24
  5. Step 5: Solve for x
    x = 106,361,056.24/11,650.72
  6. Step 6: Final answer
    x = 9,129.14

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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.