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Finding the Fourth Proportional to 3,200.07, 4,803.07 and 1,641.19

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Solution

The fourth proportional to 3,200.07, 4,803.07 and 1,641.19 is: 2,463.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.07 : 4,803.07 = 1,641.19 : x
  2. Step 2: Convert to fraction form
    3,200.07/4,803.07 = 1,641.19/x
  3. Step 3: Cross multiply
    3,200.07x = 4,803.07 × 1,641.19
  4. Step 4: Simplify right side
    3,200.07x = 7,882,750.45
  5. Step 5: Solve for x
    x = 7,882,750.45/3,200.07
  6. Step 6: Final answer
    x = 2,463.31

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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.