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Finding the Fourth Proportional to 1,410.35, 1,945.93 and 851.14

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Solution

The fourth proportional to 1,410.35, 1,945.93 and 851.14 is: 1,174.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.35 : 1,945.93 = 851.14 : x
  2. Step 2: Convert to fraction form
    1,410.35/1,945.93 = 851.14/x
  3. Step 3: Cross multiply
    1,410.35x = 1,945.93 × 851.14
  4. Step 4: Simplify right side
    1,410.35x = 1,656,258.86
  5. Step 5: Solve for x
    x = 1,656,258.86/1,410.35
  6. Step 6: Final answer
    x = 1,174.36

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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.