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Finding the Fourth Proportional to 5,407, 8,110.50 and 1,759

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Solution

The fourth proportional to 5,407, 8,110.50 and 1,759 is: 2,638.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,407 : 8,110.50 = 1,759 : x
  2. Step 2: Convert to fraction form
    5,407/8,110.50 = 1,759/x
  3. Step 3: Cross multiply
    5,407x = 8,110.50 × 1,759
  4. Step 4: Simplify right side
    5,407x = 14,266,369.50
  5. Step 5: Solve for x
    x = 14,266,369.50/5,407
  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.