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Finding the Fourth Proportional to 3,273.71, 4,909.95 and 933.21

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Solution

The fourth proportional to 3,273.71, 4,909.95 and 933.21 is: 1,399.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,273.71 : 4,909.95 = 933.21 : x
  2. Step 2: Convert to fraction form
    3,273.71/4,909.95 = 933.21/x
  3. Step 3: Cross multiply
    3,273.71x = 4,909.95 × 933.21
  4. Step 4: Simplify right side
    3,273.71x = 4,582,014.44
  5. Step 5: Solve for x
    x = 4,582,014.44/3,273.71
  6. Step 6: Final answer
    x = 1,399.64

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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.