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Finding the Fourth Proportional to 2,104, 2,903.46 and 1,159.80

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Solution

The fourth proportional to 2,104, 2,903.46 and 1,159.80 is: 1,600.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104 : 2,903.46 = 1,159.80 : x
  2. Step 2: Convert to fraction form
    2,104/2,903.46 = 1,159.80/x
  3. Step 3: Cross multiply
    2,104x = 2,903.46 × 1,159.80
  4. Step 4: Simplify right side
    2,104x = 3,367,418.39
  5. Step 5: Solve for x
    x = 3,367,418.39/2,104
  6. Step 6: Final answer
    x = 1,600.48

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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.