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Finding the Fourth Proportional to 5,388, 7,434.60 and 3,029.70

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Solution

The fourth proportional to 5,388, 7,434.60 and 3,029.70 is: 4,180.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,388 : 7,434.60 = 3,029.70 : x
  2. Step 2: Convert to fraction form
    5,388/7,434.60 = 3,029.70/x
  3. Step 3: Cross multiply
    5,388x = 7,434.60 × 3,029.70
  4. Step 4: Simplify right side
    5,388x = 22,524,607.62
  5. Step 5: Solve for x
    x = 22,524,607.62/5,388
  6. Step 6: Final answer
    x = 4,180.51

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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.