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Finding the Fourth Proportional to 4,762.35, 7,144.74 and 2,789.66

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Solution

The fourth proportional to 4,762.35, 7,144.74 and 2,789.66 is: 4,185.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762.35 : 7,144.74 = 2,789.66 : x
  2. Step 2: Convert to fraction form
    4,762.35/7,144.74 = 2,789.66/x
  3. Step 3: Cross multiply
    4,762.35x = 7,144.74 × 2,789.66
  4. Step 4: Simplify right side
    4,762.35x = 19,931,413.25
  5. Step 5: Solve for x
    x = 19,931,413.25/4,762.35
  6. Step 6: Final answer
    x = 4,185.21

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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.