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Finding the Fourth Proportional to 5,158, 7,119.81 and 3,478.33

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Solution

The fourth proportional to 5,158, 7,119.81 and 3,478.33 is: 4,801.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,158 : 7,119.81 = 3,478.33 : x
  2. Step 2: Convert to fraction form
    5,158/7,119.81 = 3,478.33/x
  3. Step 3: Cross multiply
    5,158x = 7,119.81 × 3,478.33
  4. Step 4: Simplify right side
    5,158x = 24,765,048.72
  5. Step 5: Solve for x
    x = 24,765,048.72/5,158
  6. Step 6: Final answer
    x = 4,801.29

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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.