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Finding the Fourth Proportional to 3,117.65, 4,676.44 and 896.54

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Solution

The fourth proportional to 3,117.65, 4,676.44 and 896.54 is: 1,344.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117.65 : 4,676.44 = 896.54 : x
  2. Step 2: Convert to fraction form
    3,117.65/4,676.44 = 896.54/x
  3. Step 3: Cross multiply
    3,117.65x = 4,676.44 × 896.54
  4. Step 4: Simplify right side
    3,117.65x = 4,192,607.43
  5. Step 5: Solve for x
    x = 4,192,607.43/3,117.65
  6. Step 6: Final answer
    x = 1,344.80

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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.