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Finding the Fourth Proportional to 8,493.64, 11,721.54 and 5,135.78

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Solution

The fourth proportional to 8,493.64, 11,721.54 and 5,135.78 is: 7,087.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,493.64 : 11,721.54 = 5,135.78 : x
  2. Step 2: Convert to fraction form
    8,493.64/11,721.54 = 5,135.78/x
  3. Step 3: Cross multiply
    8,493.64x = 11,721.54 × 5,135.78
  4. Step 4: Simplify right side
    8,493.64x = 60,199,250.70
  5. Step 5: Solve for x
    x = 60,199,250.70/8,493.64
  6. Step 6: Final answer
    x = 7,087.57

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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.