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Finding the Fourth Proportional to 3,419.84, 5,121.47 and 1,954.55

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Solution

The fourth proportional to 3,419.84, 5,121.47 and 1,954.55 is: 2,927.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419.84 : 5,121.47 = 1,954.55 : x
  2. Step 2: Convert to fraction form
    3,419.84/5,121.47 = 1,954.55/x
  3. Step 3: Cross multiply
    3,419.84x = 5,121.47 × 1,954.55
  4. Step 4: Simplify right side
    3,419.84x = 10,010,133.81
  5. Step 5: Solve for x
    x = 10,010,133.81/3,419.84
  6. Step 6: Final answer
    x = 2,927.08

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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.