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Finding the Fourth Proportional to 5,742.09, 7,923.02 and 3,645

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Solution

The fourth proportional to 5,742.09, 7,923.02 and 3,645 is: 5,029.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,742.09 : 7,923.02 = 3,645 : x
  2. Step 2: Convert to fraction form
    5,742.09/7,923.02 = 3,645/x
  3. Step 3: Cross multiply
    5,742.09x = 7,923.02 × 3,645
  4. Step 4: Simplify right side
    5,742.09x = 28,879,389.68
  5. Step 5: Solve for x
    x = 28,879,389.68/5,742.09
  6. Step 6: Final answer
    x = 5,029.42

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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.