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Finding the Fourth Proportional to 4,929.92, 7,395.72 and 1,643.84

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Solution

The fourth proportional to 4,929.92, 7,395.72 and 1,643.84 is: 2,466.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,929.92 : 7,395.72 = 1,643.84 : x
  2. Step 2: Convert to fraction form
    4,929.92/7,395.72 = 1,643.84/x
  3. Step 3: Cross multiply
    4,929.92x = 7,395.72 × 1,643.84
  4. Step 4: Simplify right side
    4,929.92x = 12,157,380.36
  5. Step 5: Solve for x
    x = 12,157,380.36/4,929.92
  6. Step 6: Final answer
    x = 2,466.04

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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.