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Finding the Fourth Proportional to 1,799.12, 2,693.66 and 919.73

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Solution

The fourth proportional to 1,799.12, 2,693.66 and 919.73 is: 1,377.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,799.12 : 2,693.66 = 919.73 : x
  2. Step 2: Convert to fraction form
    1,799.12/2,693.66 = 919.73/x
  3. Step 3: Cross multiply
    1,799.12x = 2,693.66 × 919.73
  4. Step 4: Simplify right side
    1,799.12x = 2,477,421.84
  5. Step 5: Solve for x
    x = 2,477,421.84/1,799.12
  6. Step 6: Final answer
    x = 1,377.02

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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.