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Finding the Fourth Proportional to 2,881.81, 3,977.58 and 2,409.22

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Solution

The fourth proportional to 2,881.81, 3,977.58 and 2,409.22 is: 3,325.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,881.81 : 3,977.58 = 2,409.22 : x
  2. Step 2: Convert to fraction form
    2,881.81/3,977.58 = 2,409.22/x
  3. Step 3: Cross multiply
    2,881.81x = 3,977.58 × 2,409.22
  4. Step 4: Simplify right side
    2,881.81x = 9,582,865.29
  5. Step 5: Solve for x
    x = 9,582,865.29/2,881.81
  6. Step 6: Final answer
    x = 3,325.29

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1.5x scale

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.