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Finding the Fourth Proportional to 1,980.52, 2,733.04 and 1,194.40

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Solution

The fourth proportional to 1,980.52, 2,733.04 and 1,194.40 is: 1,648.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,980.52 : 2,733.04 = 1,194.40 : x
  2. Step 2: Convert to fraction form
    1,980.52/2,733.04 = 1,194.40/x
  3. Step 3: Cross multiply
    1,980.52x = 2,733.04 × 1,194.40
  4. Step 4: Simplify right side
    1,980.52x = 3,264,342.98
  5. Step 5: Solve for x
    x = 3,264,342.98/1,980.52
  6. Step 6: Final answer
    x = 1,648.23

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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.