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Finding the Fourth Proportional to 7,378, 11,060.33 and 2,694.71

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Solution

The fourth proportional to 7,378, 11,060.33 and 2,694.71 is: 4,039.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,378 : 11,060.33 = 2,694.71 : x
  2. Step 2: Convert to fraction form
    7,378/11,060.33 = 2,694.71/x
  3. Step 3: Cross multiply
    7,378x = 11,060.33 × 2,694.71
  4. Step 4: Simplify right side
    7,378x = 29,804,326.55
  5. Step 5: Solve for x
    x = 29,804,326.55/7,378
  6. Step 6: Final answer
    x = 4,039.62

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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.