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Finding the Fourth Proportional to 3,324.65, 4,985.44 and 983.82

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Solution

The fourth proportional to 3,324.65, 4,985.44 and 983.82 is: 1,475.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,324.65 : 4,985.44 = 983.82 : x
  2. Step 2: Convert to fraction form
    3,324.65/4,985.44 = 983.82/x
  3. Step 3: Cross multiply
    3,324.65x = 4,985.44 × 983.82
  4. Step 4: Simplify right side
    3,324.65x = 4,904,750.65
  5. Step 5: Solve for x
    x = 4,904,750.65/3,324.65
  6. Step 6: Final answer
    x = 1,475.27

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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.