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Finding the Fourth Proportional to 3,174.63, 4,761.63 and 983.40

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Solution

The fourth proportional to 3,174.63, 4,761.63 and 983.40 is: 1,475.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.63 : 4,761.63 = 983.40 : x
  2. Step 2: Convert to fraction form
    3,174.63/4,761.63 = 983.40/x
  3. Step 3: Cross multiply
    3,174.63x = 4,761.63 × 983.40
  4. Step 4: Simplify right side
    3,174.63x = 4,682,586.94
  5. Step 5: Solve for x
    x = 4,682,586.94/3,174.63
  6. Step 6: Final answer
    x = 1,475.00

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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.