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Finding the Fourth Proportional to 5,759.90, 8,642.40 and 3,162.76

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Solution

The fourth proportional to 5,759.90, 8,642.40 and 3,162.76 is: 4,745.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,759.90 : 8,642.40 = 3,162.76 : x
  2. Step 2: Convert to fraction form
    5,759.90/8,642.40 = 3,162.76/x
  3. Step 3: Cross multiply
    5,759.90x = 8,642.40 × 3,162.76
  4. Step 4: Simplify right side
    5,759.90x = 27,333,837.02
  5. Step 5: Solve for x
    x = 27,333,837.02/5,759.90
  6. Step 6: Final answer
    x = 4,745.54

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1.5x scale

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.