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Finding the Fourth Proportional to 3,268.69, 4,902.98 and 803.50

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Solution

The fourth proportional to 3,268.69, 4,902.98 and 803.50 is: 1,205.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,268.69 : 4,902.98 = 803.50 : x
  2. Step 2: Convert to fraction form
    3,268.69/4,902.98 = 803.50/x
  3. Step 3: Cross multiply
    3,268.69x = 4,902.98 × 803.50
  4. Step 4: Simplify right side
    3,268.69x = 3,939,528.16
  5. Step 5: Solve for x
    x = 3,939,528.16/3,268.69
  6. Step 6: Final answer
    x = 1,205.23

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1.5x scale

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.