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Finding the Fourth Proportional to 8,523.31, 11,759.54 and 5,120

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Solution

The fourth proportional to 8,523.31, 11,759.54 and 5,120 is: 7,064.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,523.31 : 11,759.54 = 5,120 : x
  2. Step 2: Convert to fraction form
    8,523.31/11,759.54 = 5,120/x
  3. Step 3: Cross multiply
    8,523.31x = 11,759.54 × 5,120
  4. Step 4: Simplify right side
    8,523.31x = 60,208,844.80
  5. Step 5: Solve for x
    x = 60,208,844.80/8,523.31
  6. Step 6: Final answer
    x = 7,064.02

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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.