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Finding the Fourth Proportional to 3,802.62, 5,726.31 and 3,321.48

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Solution

The fourth proportional to 3,802.62, 5,726.31 and 3,321.48 is: 5,001.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802.62 : 5,726.31 = 3,321.48 : x
  2. Step 2: Convert to fraction form
    3,802.62/5,726.31 = 3,321.48/x
  3. Step 3: Cross multiply
    3,802.62x = 5,726.31 × 3,321.48
  4. Step 4: Simplify right side
    3,802.62x = 19,019,824.14
  5. Step 5: Solve for x
    x = 19,019,824.14/3,802.62
  6. Step 6: Final answer
    x = 5,001.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.