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Finding the Fourth Proportional to 2,881.93, 3,977.27 and 1,639.93

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Solution

The fourth proportional to 2,881.93, 3,977.27 and 1,639.93 is: 2,263.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,881.93 : 3,977.27 = 1,639.93 : x
  2. Step 2: Convert to fraction form
    2,881.93/3,977.27 = 1,639.93/x
  3. Step 3: Cross multiply
    2,881.93x = 3,977.27 × 1,639.93
  4. Step 4: Simplify right side
    2,881.93x = 6,522,436.19
  5. Step 5: Solve for x
    x = 6,522,436.19/2,881.93
  6. Step 6: Final answer
    x = 2,263.22

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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.