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Finding the Fourth Proportional to 7,165.86, 10,751.87 and 3,705.54

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Solution

The fourth proportional to 7,165.86, 10,751.87 and 3,705.54 is: 5,559.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,165.86 : 10,751.87 = 3,705.54 : x
  2. Step 2: Convert to fraction form
    7,165.86/10,751.87 = 3,705.54/x
  3. Step 3: Cross multiply
    7,165.86x = 10,751.87 × 3,705.54
  4. Step 4: Simplify right side
    7,165.86x = 39,841,484.36
  5. Step 5: Solve for x
    x = 39,841,484.36/7,165.86
  6. Step 6: Final answer
    x = 5,559.90

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Why These Related Problems?

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