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Finding the Fourth Proportional to 8,471, 11,690.04 and 4,745

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Solution

The fourth proportional to 8,471, 11,690.04 and 4,745 is: 6,548.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,471 : 11,690.04 = 4,745 : x
  2. Step 2: Convert to fraction form
    8,471/11,690.04 = 4,745/x
  3. Step 3: Cross multiply
    8,471x = 11,690.04 × 4,745
  4. Step 4: Simplify right side
    8,471x = 55,469,239.80
  5. Step 5: Solve for x
    x = 55,469,239.80/8,471
  6. Step 6: Final answer
    x = 6,548.13

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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.