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Finding the Fourth Proportional to 8,471.53, 11,690.25 and 4,694.47

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Solution

The fourth proportional to 8,471.53, 11,690.25 and 4,694.47 is: 6,478.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,471.53 : 11,690.25 = 4,694.47 : x
  2. Step 2: Convert to fraction form
    8,471.53/11,690.25 = 4,694.47/x
  3. Step 3: Cross multiply
    8,471.53x = 11,690.25 × 4,694.47
  4. Step 4: Simplify right side
    8,471.53x = 54,879,527.92
  5. Step 5: Solve for x
    x = 54,879,527.92/8,471.53
  6. Step 6: Final answer
    x = 6,478.11

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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.