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Finding the Fourth Proportional to 2,881.88, 4,324.51 and 1,215.91

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Solution

The fourth proportional to 2,881.88, 4,324.51 and 1,215.91 is: 1,824.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,881.88 : 4,324.51 = 1,215.91 : x
  2. Step 2: Convert to fraction form
    2,881.88/4,324.51 = 1,215.91/x
  3. Step 3: Cross multiply
    2,881.88x = 4,324.51 × 1,215.91
  4. Step 4: Simplify right side
    2,881.88x = 5,258,201.10
  5. Step 5: Solve for x
    x = 5,258,201.10/2,881.88
  6. Step 6: Final answer
    x = 1,824.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.