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Finding the Fourth Proportional to 7,138.00, 10,704.16 and 2,752.66

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Solution

The fourth proportional to 7,138.00, 10,704.16 and 2,752.66 is: 4,127.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,138.00 : 10,704.16 = 2,752.66 : x
  2. Step 2: Convert to fraction form
    7,138.00/10,704.16 = 2,752.66/x
  3. Step 3: Cross multiply
    7,138.00x = 10,704.16 × 2,752.66
  4. Step 4: Simplify right side
    7,138.00x = 29,464,845.78
  5. Step 5: Solve for x
    x = 29,464,845.78/7,138.00
  6. Step 6: Final answer
    x = 4,127.89

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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.