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Finding the Fourth Proportional to 4,612.78, 6,926.08 and 2,640.64

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Solution

The fourth proportional to 4,612.78, 6,926.08 and 2,640.64 is: 3,964.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,612.78 : 6,926.08 = 2,640.64 : x
  2. Step 2: Convert to fraction form
    4,612.78/6,926.08 = 2,640.64/x
  3. Step 3: Cross multiply
    4,612.78x = 6,926.08 × 2,640.64
  4. Step 4: Simplify right side
    4,612.78x = 18,289,283.89
  5. Step 5: Solve for x
    x = 18,289,283.89/4,612.78
  6. Step 6: Final answer
    x = 3,964.92

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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.