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Finding the Fourth Proportional to 3,218.04, 4,820.80 and 1,981.80

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Solution

The fourth proportional to 3,218.04, 4,820.80 and 1,981.80 is: 2,968.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,218.04 : 4,820.80 = 1,981.80 : x
  2. Step 2: Convert to fraction form
    3,218.04/4,820.80 = 1,981.80/x
  3. Step 3: Cross multiply
    3,218.04x = 4,820.80 × 1,981.80
  4. Step 4: Simplify right side
    3,218.04x = 9,553,861.44
  5. Step 5: Solve for x
    x = 9,553,861.44/3,218.04
  6. Step 6: Final answer
    x = 2,968.84

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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.