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Finding the Fourth Proportional to 7,711.30, 11,537.70 and 5,119.30

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Solution

The fourth proportional to 7,711.30, 11,537.70 and 5,119.30 is: 7,659.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,711.30 : 11,537.70 = 5,119.30 : x
  2. Step 2: Convert to fraction form
    7,711.30/11,537.70 = 5,119.30/x
  3. Step 3: Cross multiply
    7,711.30x = 11,537.70 × 5,119.30
  4. Step 4: Simplify right side
    7,711.30x = 59,064,947.61
  5. Step 5: Solve for x
    x = 59,064,947.61/7,711.30
  6. Step 6: Final answer
    x = 7,659.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.