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Finding the Fourth Proportional to 2,697.76, 4,043.64 and 1,138.84

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Solution

The fourth proportional to 2,697.76, 4,043.64 and 1,138.84 is: 1,706.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697.76 : 4,043.64 = 1,138.84 : x
  2. Step 2: Convert to fraction form
    2,697.76/4,043.64 = 1,138.84/x
  3. Step 3: Cross multiply
    2,697.76x = 4,043.64 × 1,138.84
  4. Step 4: Simplify right side
    2,697.76x = 4,605,058.98
  5. Step 5: Solve for x
    x = 4,605,058.98/2,697.76
  6. Step 6: Final answer
    x = 1,706.99

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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.