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Finding the Fourth Proportional to 7,165.97, 10,749.64 and 2,783.77

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Solution

The fourth proportional to 7,165.97, 10,749.64 and 2,783.77 is: 4,175.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,165.97 : 10,749.64 = 2,783.77 : x
  2. Step 2: Convert to fraction form
    7,165.97/10,749.64 = 2,783.77/x
  3. Step 3: Cross multiply
    7,165.97x = 10,749.64 × 2,783.77
  4. Step 4: Simplify right side
    7,165.97x = 29,924,491.51
  5. Step 5: Solve for x
    x = 29,924,491.51/7,165.97
  6. Step 6: Final answer
    x = 4,175.91

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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.