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Finding the Fourth Proportional to 4,213.60, 6,309.60 and 4,019.20

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Solution

The fourth proportional to 4,213.60, 6,309.60 and 4,019.20 is: 6,018.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,213.60 : 6,309.60 = 4,019.20 : x
  2. Step 2: Convert to fraction form
    4,213.60/6,309.60 = 4,019.20/x
  3. Step 3: Cross multiply
    4,213.60x = 6,309.60 × 4,019.20
  4. Step 4: Simplify right side
    4,213.60x = 25,359,544.32
  5. Step 5: Solve for x
    x = 25,359,544.32/4,213.60
  6. Step 6: Final answer
    x = 6,018.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.