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Finding the Fourth Proportional to 11,760.54, 16,230.12 and 6,455.30

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Solution

The fourth proportional to 11,760.54, 16,230.12 and 6,455.30 is: 8,908.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,760.54 : 16,230.12 = 6,455.30 : x
  2. Step 2: Convert to fraction form
    11,760.54/16,230.12 = 6,455.30/x
  3. Step 3: Cross multiply
    11,760.54x = 16,230.12 × 6,455.30
  4. Step 4: Simplify right side
    11,760.54x = 104,770,293.64
  5. Step 5: Solve for x
    x = 104,770,293.64/11,760.54
  6. Step 6: Final answer
    x = 8,908.63

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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.