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Finding the Fourth Proportional to 8,497.94, 12,730.40 and 4,217.58

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Solution

The fourth proportional to 8,497.94, 12,730.40 and 4,217.58 is: 6,318.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,497.94 : 12,730.40 = 4,217.58 : x
  2. Step 2: Convert to fraction form
    8,497.94/12,730.40 = 4,217.58/x
  3. Step 3: Cross multiply
    8,497.94x = 12,730.40 × 4,217.58
  4. Step 4: Simplify right side
    8,497.94x = 53,691,480.43
  5. Step 5: Solve for x
    x = 53,691,480.43/8,497.94
  6. Step 6: Final answer
    x = 6,318.18

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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.