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Finding the Fourth Proportional to 5,619.92, 7,751.88 and 3,411.92

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Solution

The fourth proportional to 5,619.92, 7,751.88 and 3,411.92 is: 4,706.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,619.92 : 7,751.88 = 3,411.92 : x
  2. Step 2: Convert to fraction form
    5,619.92/7,751.88 = 3,411.92/x
  3. Step 3: Cross multiply
    5,619.92x = 7,751.88 × 3,411.92
  4. Step 4: Simplify right side
    5,619.92x = 26,448,794.41
  5. Step 5: Solve for x
    x = 26,448,794.41/5,619.92
  6. Step 6: Final answer
    x = 4,706.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.