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Finding the Fourth Proportional to 2,672.84, 4,009.98 and 941.64

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Solution

The fourth proportional to 2,672.84, 4,009.98 and 941.64 is: 1,412.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,672.84 : 4,009.98 = 941.64 : x
  2. Step 2: Convert to fraction form
    2,672.84/4,009.98 = 941.64/x
  3. Step 3: Cross multiply
    2,672.84x = 4,009.98 × 941.64
  4. Step 4: Simplify right side
    2,672.84x = 3,775,957.57
  5. Step 5: Solve for x
    x = 3,775,957.57/2,672.84
  6. Step 6: Final answer
    x = 1,412.71

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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.