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Finding the Fourth Proportional to 11,343.12, 15,644.99 and 7,986.89

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Solution

The fourth proportional to 11,343.12, 15,644.99 and 7,986.89 is: 11,015.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,343.12 : 15,644.99 = 7,986.89 : x
  2. Step 2: Convert to fraction form
    11,343.12/15,644.99 = 7,986.89/x
  3. Step 3: Cross multiply
    11,343.12x = 15,644.99 × 7,986.89
  4. Step 4: Simplify right side
    11,343.12x = 124,954,696.02
  5. Step 5: Solve for x
    x = 124,954,696.02/11,343.12
  6. Step 6: Final answer
    x = 11,015.90

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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.