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Finding the Fourth Proportional to 3,189.84, 4,803.48 and 2,783.80

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Solution

The fourth proportional to 3,189.84, 4,803.48 and 2,783.80 is: 4,192.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,189.84 : 4,803.48 = 2,783.80 : x
  2. Step 2: Convert to fraction form
    3,189.84/4,803.48 = 2,783.80/x
  3. Step 3: Cross multiply
    3,189.84x = 4,803.48 × 2,783.80
  4. Step 4: Simplify right side
    3,189.84x = 13,371,927.62
  5. Step 5: Solve for x
    x = 13,371,927.62/3,189.84
  6. Step 6: Final answer
    x = 4,192.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.