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Finding the Fourth Proportional to 13,608, 18,778.68 and 7,640.32

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Solution

The fourth proportional to 13,608, 18,778.68 and 7,640.32 is: 10,543.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,608 : 18,778.68 = 7,640.32 : x
  2. Step 2: Convert to fraction form
    13,608/18,778.68 = 7,640.32/x
  3. Step 3: Cross multiply
    13,608x = 18,778.68 × 7,640.32
  4. Step 4: Simplify right side
    13,608x = 143,475,124.38
  5. Step 5: Solve for x
    x = 143,475,124.38/13,608
  6. Step 6: Final answer
    x = 10,543.44

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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.