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Finding the Fourth Proportional to 8,484.46, 12,730.74 and 4,099.48

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Solution

The fourth proportional to 8,484.46, 12,730.74 and 4,099.48 is: 6,151.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,484.46 : 12,730.74 = 4,099.48 : x
  2. Step 2: Convert to fraction form
    8,484.46/12,730.74 = 4,099.48/x
  3. Step 3: Cross multiply
    8,484.46x = 12,730.74 × 4,099.48
  4. Step 4: Simplify right side
    8,484.46x = 52,189,414.02
  5. Step 5: Solve for x
    x = 52,189,414.02/8,484.46
  6. Step 6: Final answer
    x = 6,151.18

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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.