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Finding the Fourth Proportional to 5,378.40, 7,422.12 and 3,020.40

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Solution

The fourth proportional to 5,378.40, 7,422.12 and 3,020.40 is: 4,168.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,378.40 : 7,422.12 = 3,020.40 : x
  2. Step 2: Convert to fraction form
    5,378.40/7,422.12 = 3,020.40/x
  3. Step 3: Cross multiply
    5,378.40x = 7,422.12 × 3,020.40
  4. Step 4: Simplify right side
    5,378.40x = 22,417,771.25
  5. Step 5: Solve for x
    x = 22,417,771.25/5,378.40
  6. Step 6: Final answer
    x = 4,168.11

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1.5x scale

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.