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Finding the Fourth Proportional to 3,564.79, 4,916.22 and 2,238.61

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Solution

The fourth proportional to 3,564.79, 4,916.22 and 2,238.61 is: 3,087.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.79 : 4,916.22 = 2,238.61 : x
  2. Step 2: Convert to fraction form
    3,564.79/4,916.22 = 2,238.61/x
  3. Step 3: Cross multiply
    3,564.79x = 4,916.22 × 2,238.61
  4. Step 4: Simplify right side
    3,564.79x = 11,005,499.25
  5. Step 5: Solve for x
    x = 11,005,499.25/3,564.79
  6. Step 6: Final answer
    x = 3,087.28

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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.