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Finding the Fourth Proportional to 1,971.80, 2,957.69 and 1,239.56

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Solution

The fourth proportional to 1,971.80, 2,957.69 and 1,239.56 is: 1,859.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971.80 : 2,957.69 = 1,239.56 : x
  2. Step 2: Convert to fraction form
    1,971.80/2,957.69 = 1,239.56/x
  3. Step 3: Cross multiply
    1,971.80x = 2,957.69 × 1,239.56
  4. Step 4: Simplify right side
    1,971.80x = 3,666,222.53
  5. Step 5: Solve for x
    x = 3,666,222.53/1,971.80
  6. Step 6: Final answer
    x = 1,859.33

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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.