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Finding the Fourth Proportional to 2,159.14, 2,978.49 and 1,634.26

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Solution

The fourth proportional to 2,159.14, 2,978.49 and 1,634.26 is: 2,254.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159.14 : 2,978.49 = 1,634.26 : x
  2. Step 2: Convert to fraction form
    2,159.14/2,978.49 = 1,634.26/x
  3. Step 3: Cross multiply
    2,159.14x = 2,978.49 × 1,634.26
  4. Step 4: Simplify right side
    2,159.14x = 4,867,627.07
  5. Step 5: Solve for x
    x = 4,867,627.07/2,159.14
  6. Step 6: Final answer
    x = 2,254.43

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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.