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Finding the Fourth Proportional to 2,159.22, 3,238.74 and 678.41

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Solution

The fourth proportional to 2,159.22, 3,238.74 and 678.41 is: 1,017.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159.22 : 3,238.74 = 678.41 : x
  2. Step 2: Convert to fraction form
    2,159.22/3,238.74 = 678.41/x
  3. Step 3: Cross multiply
    2,159.22x = 3,238.74 × 678.41
  4. Step 4: Simplify right side
    2,159.22x = 2,197,188.60
  5. Step 5: Solve for x
    x = 2,197,188.60/2,159.22
  6. Step 6: Final answer
    x = 1,017.58

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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.