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Finding the Fourth Proportional to 11,316.92, 15,620.76 and 7,338

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Solution

The fourth proportional to 11,316.92, 15,620.76 and 7,338 is: 10,128.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,316.92 : 15,620.76 = 7,338 : x
  2. Step 2: Convert to fraction form
    11,316.92/15,620.76 = 7,338/x
  3. Step 3: Cross multiply
    11,316.92x = 15,620.76 × 7,338
  4. Step 4: Simplify right side
    11,316.92x = 114,625,136.88
  5. Step 5: Solve for x
    x = 114,625,136.88/11,316.92
  6. Step 6: Final answer
    x = 10,128.65

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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.