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Finding the Fourth Proportional to 11,341, 15,640.50 and 7,358.32

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Solution

The fourth proportional to 11,341, 15,640.50 and 7,358.32 is: 10,147.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,341 : 15,640.50 = 7,358.32 : x
  2. Step 2: Convert to fraction form
    11,341/15,640.50 = 7,358.32/x
  3. Step 3: Cross multiply
    11,341x = 15,640.50 × 7,358.32
  4. Step 4: Simplify right side
    11,341x = 115,087,803.96
  5. Step 5: Solve for x
    x = 115,087,803.96/11,341
  6. Step 6: Final answer
    x = 10,147.94

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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.