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Finding the Fourth Proportional to 10,149.75, 13,998.15 and 7,763.09

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Solution

The fourth proportional to 10,149.75, 13,998.15 and 7,763.09 is: 10,706.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,149.75 : 13,998.15 = 7,763.09 : x
  2. Step 2: Convert to fraction form
    10,149.75/13,998.15 = 7,763.09/x
  3. Step 3: Cross multiply
    10,149.75x = 13,998.15 × 7,763.09
  4. Step 4: Simplify right side
    10,149.75x = 108,668,828.29
  5. Step 5: Solve for x
    x = 108,668,828.29/10,149.75
  6. Step 6: Final answer
    x = 10,706.55

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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.