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Finding the Fourth Proportional to 1,971.11, 2,957.09 and 984.45

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Solution

The fourth proportional to 1,971.11, 2,957.09 and 984.45 is: 1,476.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971.11 : 2,957.09 = 984.45 : x
  2. Step 2: Convert to fraction form
    1,971.11/2,957.09 = 984.45/x
  3. Step 3: Cross multiply
    1,971.11x = 2,957.09 × 984.45
  4. Step 4: Simplify right side
    1,971.11x = 2,911,102.33
  5. Step 5: Solve for x
    x = 2,911,102.33/1,971.11
  6. Step 6: Final answer
    x = 1,476.89

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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.