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Finding the Fourth Proportional to 4,943.76, 7,372.74 and 4,218

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Solution

The fourth proportional to 4,943.76, 7,372.74 and 4,218 is: 6,290.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,943.76 : 7,372.74 = 4,218 : x
  2. Step 2: Convert to fraction form
    4,943.76/7,372.74 = 4,218/x
  3. Step 3: Cross multiply
    4,943.76x = 7,372.74 × 4,218
  4. Step 4: Simplify right side
    4,943.76x = 31,098,217.32
  5. Step 5: Solve for x
    x = 31,098,217.32/4,943.76
  6. Step 6: Final answer
    x = 6,290.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.