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Finding the Fourth Proportional to 6,321.60, 8,719.20 and 4,224.96

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Solution

The fourth proportional to 6,321.60, 8,719.20 and 4,224.96 is: 5,827.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,321.60 : 8,719.20 = 4,224.96 : x
  2. Step 2: Convert to fraction form
    6,321.60/8,719.20 = 4,224.96/x
  3. Step 3: Cross multiply
    6,321.60x = 8,719.20 × 4,224.96
  4. Step 4: Simplify right side
    6,321.60x = 36,838,271.23
  5. Step 5: Solve for x
    x = 36,838,271.23/6,321.60
  6. Step 6: Final answer
    x = 5,827.37

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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.