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Finding the Fourth Proportional to 11,361.86, 15,678.49 and 6,645.70

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Solution

The fourth proportional to 11,361.86, 15,678.49 and 6,645.70 is: 9,170.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,361.86 : 15,678.49 = 6,645.70 : x
  2. Step 2: Convert to fraction form
    11,361.86/15,678.49 = 6,645.70/x
  3. Step 3: Cross multiply
    11,361.86x = 15,678.49 × 6,645.70
  4. Step 4: Simplify right side
    11,361.86x = 104,194,540.99
  5. Step 5: Solve for x
    x = 104,194,540.99/11,361.86
  6. Step 6: Final answer
    x = 9,170.55

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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.