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Finding the Fourth Proportional to 3,940, 5,437.74 and 2,284

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Solution

The fourth proportional to 3,940, 5,437.74 and 2,284 is: 3,152.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,940 : 5,437.74 = 2,284 : x
  2. Step 2: Convert to fraction form
    3,940/5,437.74 = 2,284/x
  3. Step 3: Cross multiply
    3,940x = 5,437.74 × 2,284
  4. Step 4: Simplify right side
    3,940x = 12,419,798.16
  5. Step 5: Solve for x
    x = 12,419,798.16/3,940
  6. Step 6: Final answer
    x = 3,152.23

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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.