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Finding the Fourth Proportional to 3,069, 4,235.24 and 1,671.80

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Solution

The fourth proportional to 3,069, 4,235.24 and 1,671.80 is: 2,307.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,069 : 4,235.24 = 1,671.80 : x
  2. Step 2: Convert to fraction form
    3,069/4,235.24 = 1,671.80/x
  3. Step 3: Cross multiply
    3,069x = 4,235.24 × 1,671.80
  4. Step 4: Simplify right side
    3,069x = 7,080,474.23
  5. Step 5: Solve for x
    x = 7,080,474.23/3,069
  6. Step 6: Final answer
    x = 2,307.09

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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.