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Finding the Fourth Proportional to 1,980.84, 2,971.26 and 1,211.88

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Solution

The fourth proportional to 1,980.84, 2,971.26 and 1,211.88 is: 1,817.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,980.84 : 2,971.26 = 1,211.88 : x
  2. Step 2: Convert to fraction form
    1,980.84/2,971.26 = 1,211.88/x
  3. Step 3: Cross multiply
    1,980.84x = 2,971.26 × 1,211.88
  4. Step 4: Simplify right side
    1,980.84x = 3,600,810.57
  5. Step 5: Solve for x
    x = 3,600,810.57/1,980.84
  6. Step 6: Final answer
    x = 1,817.82

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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.