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Finding the Fourth Proportional to 11,706.18, 17,543.94 and 10,221.65

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Solution

The fourth proportional to 11,706.18, 17,543.94 and 10,221.65 is: 15,319.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,706.18 : 17,543.94 = 10,221.65 : x
  2. Step 2: Convert to fraction form
    11,706.18/17,543.94 = 10,221.65/x
  3. Step 3: Cross multiply
    11,706.18x = 17,543.94 × 10,221.65
  4. Step 4: Simplify right side
    11,706.18x = 179,328,014.30
  5. Step 5: Solve for x
    x = 179,328,014.30/11,706.18
  6. Step 6: Final answer
    x = 15,319.09

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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.