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Finding the Fourth Proportional to 1,959.98, 2,703.84 and 1,213.66

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Solution

The fourth proportional to 1,959.98, 2,703.84 and 1,213.66 is: 1,674.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,959.98 : 2,703.84 = 1,213.66 : x
  2. Step 2: Convert to fraction form
    1,959.98/2,703.84 = 1,213.66/x
  3. Step 3: Cross multiply
    1,959.98x = 2,703.84 × 1,213.66
  4. Step 4: Simplify right side
    1,959.98x = 3,281,542.45
  5. Step 5: Solve for x
    x = 3,281,542.45/1,959.98
  6. Step 6: Final answer
    x = 1,674.27

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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.