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Finding the Fourth Proportional to 1,673, 2,308.26 and 1,043.62

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Solution

The fourth proportional to 1,673, 2,308.26 and 1,043.62 is: 1,439.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,673 : 2,308.26 = 1,043.62 : x
  2. Step 2: Convert to fraction form
    1,673/2,308.26 = 1,043.62/x
  3. Step 3: Cross multiply
    1,673x = 2,308.26 × 1,043.62
  4. Step 4: Simplify right side
    1,673x = 2,408,946.30
  5. Step 5: Solve for x
    x = 2,408,946.30/1,673
  6. Step 6: Final answer
    x = 1,439.90

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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.