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Finding the Fourth Proportional to 12,300, 16,974.02 and 6,711

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Solution

The fourth proportional to 12,300, 16,974.02 and 6,711 is: 9,261.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,300 : 16,974.02 = 6,711 : x
  2. Step 2: Convert to fraction form
    12,300/16,974.02 = 6,711/x
  3. Step 3: Cross multiply
    12,300x = 16,974.02 × 6,711
  4. Step 4: Simplify right side
    12,300x = 113,912,648.22
  5. Step 5: Solve for x
    x = 113,912,648.22/12,300
  6. Step 6: Final answer
    x = 9,261.19

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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.