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Finding the Fourth Proportional to 2,884.81, 3,981.03 and 1,558.51

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Solution

The fourth proportional to 2,884.81, 3,981.03 and 1,558.51 is: 2,150.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,884.81 : 3,981.03 = 1,558.51 : x
  2. Step 2: Convert to fraction form
    2,884.81/3,981.03 = 1,558.51/x
  3. Step 3: Cross multiply
    2,884.81x = 3,981.03 × 1,558.51
  4. Step 4: Simplify right side
    2,884.81x = 6,204,475.07
  5. Step 5: Solve for x
    x = 6,204,475.07/2,884.81
  6. Step 6: Final answer
    x = 2,150.74

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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.