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Finding the Fourth Proportional to 10,997.04, 15,171 and 7,647.96

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Solution

The fourth proportional to 10,997.04, 15,171 and 7,647.96 is: 10,550.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,997.04 : 15,171 = 7,647.96 : x
  2. Step 2: Convert to fraction form
    10,997.04/15,171 = 7,647.96/x
  3. Step 3: Cross multiply
    10,997.04x = 15,171 × 7,647.96
  4. Step 4: Simplify right side
    10,997.04x = 116,027,201.16
  5. Step 5: Solve for x
    x = 116,027,201.16/10,997.04
  6. Step 6: Final answer
    x = 10,550.77

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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.