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Finding the Fourth Proportional to 6,453, 9,682.74 and 2,991.24

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Solution

The fourth proportional to 6,453, 9,682.74 and 2,991.24 is: 4,488.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,453 : 9,682.74 = 2,991.24 : x
  2. Step 2: Convert to fraction form
    6,453/9,682.74 = 2,991.24/x
  3. Step 3: Cross multiply
    6,453x = 9,682.74 × 2,991.24
  4. Step 4: Simplify right side
    6,453x = 28,963,399.20
  5. Step 5: Solve for x
    x = 28,963,399.20/6,453
  6. Step 6: Final answer
    x = 4,488.36

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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.