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Finding the Fourth Proportional to 2,673.86, 4,009.78 and 918.36

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Solution

The fourth proportional to 2,673.86, 4,009.78 and 918.36 is: 1,377.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,673.86 : 4,009.78 = 918.36 : x
  2. Step 2: Convert to fraction form
    2,673.86/4,009.78 = 918.36/x
  3. Step 3: Cross multiply
    2,673.86x = 4,009.78 × 918.36
  4. Step 4: Simplify right side
    2,673.86x = 3,682,421.56
  5. Step 5: Solve for x
    x = 3,682,421.56/2,673.86
  6. Step 6: Final answer
    x = 1,377.20

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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.