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Finding the Fourth Proportional to 7,679.61, 11,516.38 and 3,294

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Solution

The fourth proportional to 7,679.61, 11,516.38 and 3,294 is: 4,939.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,679.61 : 11,516.38 = 3,294 : x
  2. Step 2: Convert to fraction form
    7,679.61/11,516.38 = 3,294/x
  3. Step 3: Cross multiply
    7,679.61x = 11,516.38 × 3,294
  4. Step 4: Simplify right side
    7,679.61x = 37,934,947.49
  5. Step 5: Solve for x
    x = 37,934,947.49/7,679.61
  6. Step 6: Final answer
    x = 4,939.70

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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.