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Finding the Fourth Proportional to 1,945.47, 2,918.43 and 713.46

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Solution

The fourth proportional to 1,945.47, 2,918.43 and 713.46 is: 1,070.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,945.47 : 2,918.43 = 713.46 : x
  2. Step 2: Convert to fraction form
    1,945.47/2,918.43 = 713.46/x
  3. Step 3: Cross multiply
    1,945.47x = 2,918.43 × 713.46
  4. Step 4: Simplify right side
    1,945.47x = 2,082,183.07
  5. Step 5: Solve for x
    x = 2,082,183.07/1,945.47
  6. Step 6: Final answer
    x = 1,070.27

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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.