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Finding the Fourth Proportional to 6,494, 9,745.56 and 2,390

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Solution

The fourth proportional to 6,494, 9,745.56 and 2,390 is: 3,586.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,494 : 9,745.56 = 2,390 : x
  2. Step 2: Convert to fraction form
    6,494/9,745.56 = 2,390/x
  3. Step 3: Cross multiply
    6,494x = 9,745.56 × 2,390
  4. Step 4: Simplify right side
    6,494x = 23,291,888.40
  5. Step 5: Solve for x
    x = 23,291,888.40/6,494
  6. Step 6: Final answer
    x = 3,586.68

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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.