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Finding the Fourth Proportional to 3,145.25, 4,718.50 and 954

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Solution

The fourth proportional to 3,145.25, 4,718.50 and 954 is: 1,431.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,145.25 : 4,718.50 = 954 : x
  2. Step 2: Convert to fraction form
    3,145.25/4,718.50 = 954/x
  3. Step 3: Cross multiply
    3,145.25x = 4,718.50 × 954
  4. Step 4: Simplify right side
    3,145.25x = 4,501,446.62
  5. Step 5: Solve for x
    x = 4,501,446.62/3,145.25
  6. Step 6: Final answer
    x = 1,431.19

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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.