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Finding the Fourth Proportional to 4,286.78, 5,916.22 and 2,518.64

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Solution

The fourth proportional to 4,286.78, 5,916.22 and 2,518.64 is: 3,476.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,286.78 : 5,916.22 = 2,518.64 : x
  2. Step 2: Convert to fraction form
    4,286.78/5,916.22 = 2,518.64/x
  3. Step 3: Cross multiply
    4,286.78x = 5,916.22 × 2,518.64
  4. Step 4: Simplify right side
    4,286.78x = 14,900,828.34
  5. Step 5: Solve for x
    x = 14,900,828.34/4,286.78
  6. Step 6: Final answer
    x = 3,476.00

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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.