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Finding the Fourth Proportional to 2,884.94, 3,981.22 and 1,558.64

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Solution

The fourth proportional to 2,884.94, 3,981.22 and 1,558.64 is: 2,150.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,884.94 : 3,981.22 = 1,558.64 : x
  2. Step 2: Convert to fraction form
    2,884.94/3,981.22 = 1,558.64/x
  3. Step 3: Cross multiply
    2,884.94x = 3,981.22 × 1,558.64
  4. Step 4: Simplify right side
    2,884.94x = 6,205,294.80
  5. Step 5: Solve for x
    x = 6,205,294.80/2,884.94
  6. Step 6: Final answer
    x = 2,150.93

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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.