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Finding the Fourth Proportional to 10,996, 15,163.08 and 7,642.60

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Solution

The fourth proportional to 10,996, 15,163.08 and 7,642.60 is: 10,538.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,996 : 15,163.08 = 7,642.60 : x
  2. Step 2: Convert to fraction form
    10,996/15,163.08 = 7,642.60/x
  3. Step 3: Cross multiply
    10,996x = 15,163.08 × 7,642.60
  4. Step 4: Simplify right side
    10,996x = 115,885,355.21
  5. Step 5: Solve for x
    x = 115,885,355.21/10,996
  6. Step 6: Final answer
    x = 10,538.86

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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.