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Finding the Fourth Proportional to 3,269.08, 4,903.54 and 803.90

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Solution

The fourth proportional to 3,269.08, 4,903.54 and 803.90 is: 1,205.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,269.08 : 4,903.54 = 803.90 : x
  2. Step 2: Convert to fraction form
    3,269.08/4,903.54 = 803.90/x
  3. Step 3: Cross multiply
    3,269.08x = 4,903.54 × 803.90
  4. Step 4: Simplify right side
    3,269.08x = 3,941,955.81
  5. Step 5: Solve for x
    x = 3,941,955.81/3,269.08
  6. Step 6: Final answer
    x = 1,205.83

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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.