Home / 4,616-6,923.96-1,153.26

Finding the Fourth Proportional to 4,616, 6,923.96 and 1,153.26

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Solution

The fourth proportional to 4,616, 6,923.96 and 1,153.26 is: 1,729.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,616 : 6,923.96 = 1,153.26 : x
  2. Step 2: Convert to fraction form
    4,616/6,923.96 = 1,153.26/x
  3. Step 3: Cross multiply
    4,616x = 6,923.96 × 1,153.26
  4. Step 4: Simplify right side
    4,616x = 7,985,126.11
  5. Step 5: Solve for x
    x = 7,985,126.11/4,616
  6. Step 6: Final answer
    x = 1,729.88

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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.