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Finding the Fourth Proportional to 5,378.16, 7,422 and 3,020.34

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Solution

The fourth proportional to 5,378.16, 7,422 and 3,020.34 is: 4,168.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,378.16 : 7,422 = 3,020.34 : x
  2. Step 2: Convert to fraction form
    5,378.16/7,422 = 3,020.34/x
  3. Step 3: Cross multiply
    5,378.16x = 7,422 × 3,020.34
  4. Step 4: Simplify right side
    5,378.16x = 22,416,963.48
  5. Step 5: Solve for x
    x = 22,416,963.48/5,378.16
  6. Step 6: Final answer
    x = 4,168.15

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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.