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Finding the Fourth Proportional to 2,659.84, 3,984.32 and 2,168

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Solution

The fourth proportional to 2,659.84, 3,984.32 and 2,168 is: 3,247.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,659.84 : 3,984.32 = 2,168 : x
  2. Step 2: Convert to fraction form
    2,659.84/3,984.32 = 2,168/x
  3. Step 3: Cross multiply
    2,659.84x = 3,984.32 × 2,168
  4. Step 4: Simplify right side
    2,659.84x = 8,638,005.76
  5. Step 5: Solve for x
    x = 8,638,005.76/2,659.84
  6. Step 6: Final answer
    x = 3,247.57

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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.