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Finding the Fourth Proportional to 1,676.43, 2,515.86 and 947.43

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Solution

The fourth proportional to 1,676.43, 2,515.86 and 947.43 is: 1,421.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,676.43 : 2,515.86 = 947.43 : x
  2. Step 2: Convert to fraction form
    1,676.43/2,515.86 = 947.43/x
  3. Step 3: Cross multiply
    1,676.43x = 2,515.86 × 947.43
  4. Step 4: Simplify right side
    1,676.43x = 2,383,601.24
  5. Step 5: Solve for x
    x = 2,383,601.24/1,676.43
  6. Step 6: Final answer
    x = 1,421.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.