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Finding the Fourth Proportional to 15,806, 21,812.90 and 9,091.62

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Solution

The fourth proportional to 15,806, 21,812.90 and 9,091.62 is: 12,546.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,806 : 21,812.90 = 9,091.62 : x
  2. Step 2: Convert to fraction form
    15,806/21,812.90 = 9,091.62/x
  3. Step 3: Cross multiply
    15,806x = 21,812.90 × 9,091.62
  4. Step 4: Simplify right side
    15,806x = 198,314,597.90
  5. Step 5: Solve for x
    x = 198,314,597.90/15,806
  6. Step 6: Final answer
    x = 12,546.79

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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.