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Finding the Fourth Proportional to 3,264.78, 4,889.28 and 1,619.04

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Solution

The fourth proportional to 3,264.78, 4,889.28 and 1,619.04 is: 2,424.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,264.78 : 4,889.28 = 1,619.04 : x
  2. Step 2: Convert to fraction form
    3,264.78/4,889.28 = 1,619.04/x
  3. Step 3: Cross multiply
    3,264.78x = 4,889.28 × 1,619.04
  4. Step 4: Simplify right side
    3,264.78x = 7,915,939.89
  5. Step 5: Solve for x
    x = 7,915,939.89/3,264.78
  6. Step 6: Final answer
    x = 2,424.65

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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.