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Finding the Fourth Proportional to 8,491.29, 12,723.09 and 5,197.47

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Solution

The fourth proportional to 8,491.29, 12,723.09 and 5,197.47 is: 7,787.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,491.29 : 12,723.09 = 5,197.47 : x
  2. Step 2: Convert to fraction form
    8,491.29/12,723.09 = 5,197.47/x
  3. Step 3: Cross multiply
    8,491.29x = 12,723.09 × 5,197.47
  4. Step 4: Simplify right side
    8,491.29x = 66,127,878.58
  5. Step 5: Solve for x
    x = 66,127,878.58/8,491.29
  6. Step 6: Final answer
    x = 7,787.73

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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.