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Finding the Fourth Proportional to 1,200, 1,802 and 1,110.20

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Solution

The fourth proportional to 1,200, 1,802 and 1,110.20 is: 1,667.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200 : 1,802 = 1,110.20 : x
  2. Step 2: Convert to fraction form
    1,200/1,802 = 1,110.20/x
  3. Step 3: Cross multiply
    1,200x = 1,802 × 1,110.20
  4. Step 4: Simplify right side
    1,200x = 2,000,580.40
  5. Step 5: Solve for x
    x = 2,000,580.40/1,200
  6. Step 6: Final answer
    x = 1,667.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.