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Finding the Fourth Proportional to 1,375.76, 1,895.92 and 982.10

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Solution

The fourth proportional to 1,375.76, 1,895.92 and 982.10 is: 1,353.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375.76 : 1,895.92 = 982.10 : x
  2. Step 2: Convert to fraction form
    1,375.76/1,895.92 = 982.10/x
  3. Step 3: Cross multiply
    1,375.76x = 1,895.92 × 982.10
  4. Step 4: Simplify right side
    1,375.76x = 1,861,971.10
  5. Step 5: Solve for x
    x = 1,861,971.10/1,375.76
  6. Step 6: Final answer
    x = 1,353.42

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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.