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Finding the Fourth Proportional to 7,170.86, 10,747.13 and 5,784.85

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Solution

The fourth proportional to 7,170.86, 10,747.13 and 5,784.85 is: 8,669.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,170.86 : 10,747.13 = 5,784.85 : x
  2. Step 2: Convert to fraction form
    7,170.86/10,747.13 = 5,784.85/x
  3. Step 3: Cross multiply
    7,170.86x = 10,747.13 × 5,784.85
  4. Step 4: Simplify right side
    7,170.86x = 62,170,552.03
  5. Step 5: Solve for x
    x = 62,170,552.03/7,170.86
  6. Step 6: Final answer
    x = 8,669.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.