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Finding the Fourth Proportional to 5,176, 7,143.42 and 2,938.48

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Solution

The fourth proportional to 5,176, 7,143.42 and 2,938.48 is: 4,055.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,176 : 7,143.42 = 2,938.48 : x
  2. Step 2: Convert to fraction form
    5,176/7,143.42 = 2,938.48/x
  3. Step 3: Cross multiply
    5,176x = 7,143.42 × 2,938.48
  4. Step 4: Simplify right side
    5,176x = 20,990,796.80
  5. Step 5: Solve for x
    x = 20,990,796.80/5,176
  6. Step 6: Final answer
    x = 4,055.41

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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.