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Finding the Fourth Proportional to 5,378, 7,421.52 and 3,020.20

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Solution

The fourth proportional to 5,378, 7,421.52 and 3,020.20 is: 4,167.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,378 : 7,421.52 = 3,020.20 : x
  2. Step 2: Convert to fraction form
    5,378/7,421.52 = 3,020.20/x
  3. Step 3: Cross multiply
    5,378x = 7,421.52 × 3,020.20
  4. Step 4: Simplify right side
    5,378x = 22,414,474.70
  5. Step 5: Solve for x
    x = 22,414,474.70/5,378
  6. Step 6: Final answer
    x = 4,167.81

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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.