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Finding the Fourth Proportional to 3,783.69, 5,223.11 and 2,542.41

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Solution

The fourth proportional to 3,783.69, 5,223.11 and 2,542.41 is: 3,509.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783.69 : 5,223.11 = 2,542.41 : x
  2. Step 2: Convert to fraction form
    3,783.69/5,223.11 = 2,542.41/x
  3. Step 3: Cross multiply
    3,783.69x = 5,223.11 × 2,542.41
  4. Step 4: Simplify right side
    3,783.69x = 13,279,274.38
  5. Step 5: Solve for x
    x = 13,279,274.38/3,783.69
  6. Step 6: Final answer
    x = 3,509.61

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Half scale
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Double scale
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1.5x scale

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.