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Finding the Fourth Proportional to 3,564.94, 5,309.81 and 3,405.03

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Solution

The fourth proportional to 3,564.94, 5,309.81 and 3,405.03 is: 5,071.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.94 : 5,309.81 = 3,405.03 : x
  2. Step 2: Convert to fraction form
    3,564.94/5,309.81 = 3,405.03/x
  3. Step 3: Cross multiply
    3,564.94x = 5,309.81 × 3,405.03
  4. Step 4: Simplify right side
    3,564.94x = 18,080,035.80
  5. Step 5: Solve for x
    x = 18,080,035.80/3,564.94
  6. Step 6: Final answer
    x = 5,071.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.