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Finding the Fourth Proportional to 11,760.64, 16,230.06 and 6,455.80

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Solution

The fourth proportional to 11,760.64, 16,230.06 and 6,455.80 is: 8,909.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,760.64 : 16,230.06 = 6,455.80 : x
  2. Step 2: Convert to fraction form
    11,760.64/16,230.06 = 6,455.80/x
  3. Step 3: Cross multiply
    11,760.64x = 16,230.06 × 6,455.80
  4. Step 4: Simplify right side
    11,760.64x = 104,778,021.35
  5. Step 5: Solve for x
    x = 104,778,021.35/11,760.64
  6. Step 6: Final answer
    x = 8,909.21

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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.