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Finding the Fourth Proportional to 2,119.50, 2,924.94 and 1,188

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Solution

The fourth proportional to 2,119.50, 2,924.94 and 1,188 is: 1,639.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,119.50 : 2,924.94 = 1,188 : x
  2. Step 2: Convert to fraction form
    2,119.50/2,924.94 = 1,188/x
  3. Step 3: Cross multiply
    2,119.50x = 2,924.94 × 1,188
  4. Step 4: Simplify right side
    2,119.50x = 3,474,828.72
  5. Step 5: Solve for x
    x = 3,474,828.72/2,119.50
  6. Step 6: Final answer
    x = 1,639.46

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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.