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Finding the Fourth Proportional to 2,930, 4,043.40 and 1,826

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Solution

The fourth proportional to 2,930, 4,043.40 and 1,826 is: 2,519.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,930 : 4,043.40 = 1,826 : x
  2. Step 2: Convert to fraction form
    2,930/4,043.40 = 1,826/x
  3. Step 3: Cross multiply
    2,930x = 4,043.40 × 1,826
  4. Step 4: Simplify right side
    2,930x = 7,383,248.40
  5. Step 5: Solve for x
    x = 7,383,248.40/2,930
  6. Step 6: Final answer
    x = 2,519.88

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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.