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Finding the Fourth Proportional to 3,781.69, 5,218.73 and 2,210.69

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Solution

The fourth proportional to 3,781.69, 5,218.73 and 2,210.69 is: 3,050.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,781.69 : 5,218.73 = 2,210.69 : x
  2. Step 2: Convert to fraction form
    3,781.69/5,218.73 = 2,210.69/x
  3. Step 3: Cross multiply
    3,781.69x = 5,218.73 × 2,210.69
  4. Step 4: Simplify right side
    3,781.69x = 11,537,004.51
  5. Step 5: Solve for x
    x = 11,537,004.51/3,781.69
  6. Step 6: Final answer
    x = 3,050.76

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Half 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.