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Finding the Fourth Proportional to 2,737, 4,105.50 and 685

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Solution

The fourth proportional to 2,737, 4,105.50 and 685 is: 1,027.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,737 : 4,105.50 = 685 : x
  2. Step 2: Convert to fraction form
    2,737/4,105.50 = 685/x
  3. Step 3: Cross multiply
    2,737x = 4,105.50 × 685
  4. Step 4: Simplify right side
    2,737x = 2,812,267.50
  5. Step 5: Solve for x
    x = 2,812,267.50/2,737
  6. Step 6: Final answer
    x = 1,027.50

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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.