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Finding the Fourth Proportional to 7,180.72, 9,910.82 and 4,659.29

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Solution

The fourth proportional to 7,180.72, 9,910.82 and 4,659.29 is: 6,430.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,180.72 : 9,910.82 = 4,659.29 : x
  2. Step 2: Convert to fraction form
    7,180.72/9,910.82 = 4,659.29/x
  3. Step 3: Cross multiply
    7,180.72x = 9,910.82 × 4,659.29
  4. Step 4: Simplify right side
    7,180.72x = 46,177,394.73
  5. Step 5: Solve for x
    x = 46,177,394.73/7,180.72
  6. Step 6: Final answer
    x = 6,430.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.