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Finding the Fourth Proportional to 2,978.57, 4,107.31 and 2,143.26

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Solution

The fourth proportional to 2,978.57, 4,107.31 and 2,143.26 is: 2,955.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978.57 : 4,107.31 = 2,143.26 : x
  2. Step 2: Convert to fraction form
    2,978.57/4,107.31 = 2,143.26/x
  3. Step 3: Cross multiply
    2,978.57x = 4,107.31 × 2,143.26
  4. Step 4: Simplify right side
    2,978.57x = 8,803,027.87
  5. Step 5: Solve for x
    x = 8,803,027.87/2,978.57
  6. Step 6: Final answer
    x = 2,955.45

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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.