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Finding the Fourth Proportional to 11,221.66, 15,486 and 6,186.07

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Solution

The fourth proportional to 11,221.66, 15,486 and 6,186.07 is: 8,536.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,221.66 : 15,486 = 6,186.07 : x
  2. Step 2: Convert to fraction form
    11,221.66/15,486 = 6,186.07/x
  3. Step 3: Cross multiply
    11,221.66x = 15,486 × 6,186.07
  4. Step 4: Simplify right side
    11,221.66x = 95,797,480.02
  5. Step 5: Solve for x
    x = 95,797,480.02/11,221.66
  6. Step 6: Final answer
    x = 8,536.84

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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.