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Finding the Fourth Proportional to 11,709.90, 17,545.41 and 8,239.86

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Solution

The fourth proportional to 11,709.90, 17,545.41 and 8,239.86 is: 12,346.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,709.90 : 17,545.41 = 8,239.86 : x
  2. Step 2: Convert to fraction form
    11,709.90/17,545.41 = 8,239.86/x
  3. Step 3: Cross multiply
    11,709.90x = 17,545.41 × 8,239.86
  4. Step 4: Simplify right side
    11,709.90x = 144,571,722.04
  5. Step 5: Solve for x
    x = 144,571,722.04/11,709.90
  6. Step 6: Final answer
    x = 12,346.11

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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.