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Finding the Fourth Proportional to 7,165.54, 10,749.83 and 2,782.98

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Solution

The fourth proportional to 7,165.54, 10,749.83 and 2,782.98 is: 4,175.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,165.54 : 10,749.83 = 2,782.98 : x
  2. Step 2: Convert to fraction form
    7,165.54/10,749.83 = 2,782.98/x
  3. Step 3: Cross multiply
    7,165.54x = 10,749.83 × 2,782.98
  4. Step 4: Simplify right side
    7,165.54x = 29,916,563.63
  5. Step 5: Solve for x
    x = 29,916,563.63/7,165.54
  6. Step 6: Final answer
    x = 4,175.06

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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.