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Finding the Fourth Proportional to 4,659.99, 6,989.22 and 1,372.31

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Solution

The fourth proportional to 4,659.99, 6,989.22 and 1,372.31 is: 2,058.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,659.99 : 6,989.22 = 1,372.31 : x
  2. Step 2: Convert to fraction form
    4,659.99/6,989.22 = 1,372.31/x
  3. Step 3: Cross multiply
    4,659.99x = 6,989.22 × 1,372.31
  4. Step 4: Simplify right side
    4,659.99x = 9,591,369.64
  5. Step 5: Solve for x
    x = 9,591,369.64/4,659.99
  6. Step 6: Final answer
    x = 2,058.24

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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.