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Finding the Fourth Proportional to 11,580.96, 15,978 and 7,100.04

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Solution

The fourth proportional to 11,580.96, 15,978 and 7,100.04 is: 9,795.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,580.96 : 15,978 = 7,100.04 : x
  2. Step 2: Convert to fraction form
    11,580.96/15,978 = 7,100.04/x
  3. Step 3: Cross multiply
    11,580.96x = 15,978 × 7,100.04
  4. Step 4: Simplify right side
    11,580.96x = 113,444,439.12
  5. Step 5: Solve for x
    x = 113,444,439.12/11,580.96
  6. Step 6: Final answer
    x = 9,795.77

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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.