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Finding the Fourth Proportional to 2,120.64, 2,927.04 and 1,189.44

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Solution

The fourth proportional to 2,120.64, 2,927.04 and 1,189.44 is: 1,641.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,120.64 : 2,927.04 = 1,189.44 : x
  2. Step 2: Convert to fraction form
    2,120.64/2,927.04 = 1,189.44/x
  3. Step 3: Cross multiply
    2,120.64x = 2,927.04 × 1,189.44
  4. Step 4: Simplify right side
    2,120.64x = 3,481,538.46
  5. Step 5: Solve for x
    x = 3,481,538.46/2,120.64
  6. Step 6: Final answer
    x = 1,641.74

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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.