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Finding the Fourth Proportional to 12,311.79, 16,990.04 and 7,006.49

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Solution

The fourth proportional to 12,311.79, 16,990.04 and 7,006.49 is: 9,668.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,311.79 : 16,990.04 = 7,006.49 : x
  2. Step 2: Convert to fraction form
    12,311.79/16,990.04 = 7,006.49/x
  3. Step 3: Cross multiply
    12,311.79x = 16,990.04 × 7,006.49
  4. Step 4: Simplify right side
    12,311.79x = 119,040,545.36
  5. Step 5: Solve for x
    x = 119,040,545.36/12,311.79
  6. Step 6: Final answer
    x = 9,668.83

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1.5x scale

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.