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Finding the Fourth Proportional to 1,380.52, 1,900.02 and 1,099.84

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Solution

The fourth proportional to 1,380.52, 1,900.02 and 1,099.84 is: 1,513.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.52 : 1,900.02 = 1,099.84 : x
  2. Step 2: Convert to fraction form
    1,380.52/1,900.02 = 1,099.84/x
  3. Step 3: Cross multiply
    1,380.52x = 1,900.02 × 1,099.84
  4. Step 4: Simplify right side
    1,380.52x = 2,089,718.00
  5. Step 5: Solve for x
    x = 2,089,718.00/1,380.52
  6. Step 6: Final answer
    x = 1,513.72

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