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Finding the Fourth Proportional to 8,224.10, 12,339.24 and 4,939.48

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Solution

The fourth proportional to 8,224.10, 12,339.24 and 4,939.48 is: 7,411.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,224.10 : 12,339.24 = 4,939.48 : x
  2. Step 2: Convert to fraction form
    8,224.10/12,339.24 = 4,939.48/x
  3. Step 3: Cross multiply
    8,224.10x = 12,339.24 × 4,939.48
  4. Step 4: Simplify right side
    8,224.10x = 60,949,429.20
  5. Step 5: Solve for x
    x = 60,949,429.20/8,224.10
  6. Step 6: Final answer
    x = 7,411.08

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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.