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Finding the Fourth Proportional to 4,718.16, 7,072.92 and 1,638

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Solution

The fourth proportional to 4,718.16, 7,072.92 and 1,638 is: 2,455.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,718.16 : 7,072.92 = 1,638 : x
  2. Step 2: Convert to fraction form
    4,718.16/7,072.92 = 1,638/x
  3. Step 3: Cross multiply
    4,718.16x = 7,072.92 × 1,638
  4. Step 4: Simplify right side
    4,718.16x = 11,585,442.96
  5. Step 5: Solve for x
    x = 11,585,442.96/4,718.16
  6. Step 6: Final answer
    x = 2,455.50

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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.