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Finding the Fourth Proportional to 7,189.56, 10,783.14 and 1,994.04

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Solution

The fourth proportional to 7,189.56, 10,783.14 and 1,994.04 is: 2,990.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,189.56 : 10,783.14 = 1,994.04 : x
  2. Step 2: Convert to fraction form
    7,189.56/10,783.14 = 1,994.04/x
  3. Step 3: Cross multiply
    7,189.56x = 10,783.14 × 1,994.04
  4. Step 4: Simplify right side
    7,189.56x = 21,502,012.49
  5. Step 5: Solve for x
    x = 21,502,012.49/7,189.56
  6. Step 6: Final answer
    x = 2,990.73

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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.