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Finding the Fourth Proportional to 3,969.68, 5,476.20 and 3,224.48

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Solution

The fourth proportional to 3,969.68, 5,476.20 and 3,224.48 is: 4,448.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,969.68 : 5,476.20 = 3,224.48 : x
  2. Step 2: Convert to fraction form
    3,969.68/5,476.20 = 3,224.48/x
  3. Step 3: Cross multiply
    3,969.68x = 5,476.20 × 3,224.48
  4. Step 4: Simplify right side
    3,969.68x = 17,657,897.38
  5. Step 5: Solve for x
    x = 17,657,897.38/3,969.68
  6. Step 6: Final answer
    x = 4,448.19

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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.