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Finding the Fourth Proportional to 1,972.59, 2,957.32 and 984.89

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Solution

The fourth proportional to 1,972.59, 2,957.32 and 984.89 is: 1,476.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972.59 : 2,957.32 = 984.89 : x
  2. Step 2: Convert to fraction form
    1,972.59/2,957.32 = 984.89/x
  3. Step 3: Cross multiply
    1,972.59x = 2,957.32 × 984.89
  4. Step 4: Simplify right side
    1,972.59x = 2,912,629.97
  5. Step 5: Solve for x
    x = 2,912,629.97/1,972.59
  6. Step 6: Final answer
    x = 1,476.55

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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.