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Finding the Fourth Proportional to 11,486.21, 15,849.07 and 6,771.40

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Solution

The fourth proportional to 11,486.21, 15,849.07 and 6,771.40 is: 9,343.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,486.21 : 15,849.07 = 6,771.40 : x
  2. Step 2: Convert to fraction form
    11,486.21/15,849.07 = 6,771.40/x
  3. Step 3: Cross multiply
    11,486.21x = 15,849.07 × 6,771.40
  4. Step 4: Simplify right side
    11,486.21x = 107,320,336.05
  5. Step 5: Solve for x
    x = 107,320,336.05/11,486.21
  6. Step 6: Final answer
    x = 9,343.41

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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.