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Finding the Fourth Proportional to 1,993.60, 2,750.82 and 1,109.32

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Solution

The fourth proportional to 1,993.60, 2,750.82 and 1,109.32 is: 1,530.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,993.60 : 2,750.82 = 1,109.32 : x
  2. Step 2: Convert to fraction form
    1,993.60/2,750.82 = 1,109.32/x
  3. Step 3: Cross multiply
    1,993.60x = 2,750.82 × 1,109.32
  4. Step 4: Simplify right side
    1,993.60x = 3,051,539.64
  5. Step 5: Solve for x
    x = 3,051,539.64/1,993.60
  6. Step 6: Final answer
    x = 1,530.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.