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Finding the Fourth Proportional to 2,893.70, 3,986.46 and 2,386.24

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Solution

The fourth proportional to 2,893.70, 3,986.46 and 2,386.24 is: 3,287.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,893.70 : 3,986.46 = 2,386.24 : x
  2. Step 2: Convert to fraction form
    2,893.70/3,986.46 = 2,386.24/x
  3. Step 3: Cross multiply
    2,893.70x = 3,986.46 × 2,386.24
  4. Step 4: Simplify right side
    2,893.70x = 9,512,650.31
  5. Step 5: Solve for x
    x = 9,512,650.31/2,893.70
  6. Step 6: Final answer
    x = 3,287.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.