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Finding the Fourth Proportional to 1,980.59, 2,733.21 and 1,283.18

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Solution

The fourth proportional to 1,980.59, 2,733.21 and 1,283.18 is: 1,770.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,980.59 : 2,733.21 = 1,283.18 : x
  2. Step 2: Convert to fraction form
    1,980.59/2,733.21 = 1,283.18/x
  3. Step 3: Cross multiply
    1,980.59x = 2,733.21 × 1,283.18
  4. Step 4: Simplify right side
    1,980.59x = 3,507,186.74
  5. Step 5: Solve for x
    x = 3,507,186.74/1,980.59
  6. Step 6: Final answer
    x = 1,770.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.