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Finding the Fourth Proportional to 5,162, 7,124.52 and 2,954

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Solution

The fourth proportional to 5,162, 7,124.52 and 2,954 is: 4,077.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,162 : 7,124.52 = 2,954 : x
  2. Step 2: Convert to fraction form
    5,162/7,124.52 = 2,954/x
  3. Step 3: Cross multiply
    5,162x = 7,124.52 × 2,954
  4. Step 4: Simplify right side
    5,162x = 21,045,832.08
  5. Step 5: Solve for x
    x = 21,045,832.08/5,162
  6. Step 6: Final answer
    x = 4,077.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.