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Finding the Fourth Proportional to 1,945.09, 2,918.74 and 712.34

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Solution

The fourth proportional to 1,945.09, 2,918.74 and 712.34 is: 1,068.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,945.09 : 2,918.74 = 712.34 : x
  2. Step 2: Convert to fraction form
    1,945.09/2,918.74 = 712.34/x
  3. Step 3: Cross multiply
    1,945.09x = 2,918.74 × 712.34
  4. Step 4: Simplify right side
    1,945.09x = 2,079,120.66
  5. Step 5: Solve for x
    x = 2,079,120.66/1,945.09
  6. Step 6: Final answer
    x = 1,068.91

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Why These Related Problems?

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