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Finding the Fourth Proportional to 3,599.78, 4,964.09 and 3,200.18

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Solution

The fourth proportional to 3,599.78, 4,964.09 and 3,200.18 is: 4,413.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,599.78 : 4,964.09 = 3,200.18 : x
  2. Step 2: Convert to fraction form
    3,599.78/4,964.09 = 3,200.18/x
  3. Step 3: Cross multiply
    3,599.78x = 4,964.09 × 3,200.18
  4. Step 4: Simplify right side
    3,599.78x = 15,885,940.71
  5. Step 5: Solve for x
    x = 15,885,940.71/3,599.78
  6. Step 6: Final answer
    x = 4,413.04

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1.5x scale

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.