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Finding the Fourth Proportional to 3,273.32, 4,909.95 and 808.16

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Solution

The fourth proportional to 3,273.32, 4,909.95 and 808.16 is: 1,212.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,273.32 : 4,909.95 = 808.16 : x
  2. Step 2: Convert to fraction form
    3,273.32/4,909.95 = 808.16/x
  3. Step 3: Cross multiply
    3,273.32x = 4,909.95 × 808.16
  4. Step 4: Simplify right side
    3,273.32x = 3,968,025.19
  5. Step 5: Solve for x
    x = 3,968,025.19/3,273.32
  6. Step 6: Final answer
    x = 1,212.23

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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.