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Finding the Fourth Proportional to 7,231, 10,846.50 and 1,759

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Solution

The fourth proportional to 7,231, 10,846.50 and 1,759 is: 2,638.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,231 : 10,846.50 = 1,759 : x
  2. Step 2: Convert to fraction form
    7,231/10,846.50 = 1,759/x
  3. Step 3: Cross multiply
    7,231x = 10,846.50 × 1,759
  4. Step 4: Simplify right side
    7,231x = 19,078,993.50
  5. Step 5: Solve for x
    x = 19,078,993.50/7,231
  6. Step 6: Final answer
    x = 2,638.50

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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.