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Finding the Fourth Proportional to 3,651, 5,047.98 and 3,487.80

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Solution

The fourth proportional to 3,651, 5,047.98 and 3,487.80 is: 4,822.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,651 : 5,047.98 = 3,487.80 : x
  2. Step 2: Convert to fraction form
    3,651/5,047.98 = 3,487.80/x
  3. Step 3: Cross multiply
    3,651x = 5,047.98 × 3,487.80
  4. Step 4: Simplify right side
    3,651x = 17,606,344.64
  5. Step 5: Solve for x
    x = 17,606,344.64/3,651
  6. Step 6: Final answer
    x = 4,822.33

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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.