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Finding the Fourth Proportional to 3,642, 5,487.81 and 3,244.17

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Solution

The fourth proportional to 3,642, 5,487.81 and 3,244.17 is: 4,888.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642 : 5,487.81 = 3,244.17 : x
  2. Step 2: Convert to fraction form
    3,642/5,487.81 = 3,244.17/x
  3. Step 3: Cross multiply
    3,642x = 5,487.81 × 3,244.17
  4. Step 4: Simplify right side
    3,642x = 17,803,388.57
  5. Step 5: Solve for x
    x = 17,803,388.57/3,642
  6. Step 6: Final answer
    x = 4,888.35

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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.