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Finding the Fourth Proportional to 7,860.80, 11,792.28 and 3,965.60

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Solution

The fourth proportional to 7,860.80, 11,792.28 and 3,965.60 is: 5,948.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,860.80 : 11,792.28 = 3,965.60 : x
  2. Step 2: Convert to fraction form
    7,860.80/11,792.28 = 3,965.60/x
  3. Step 3: Cross multiply
    7,860.80x = 11,792.28 × 3,965.60
  4. Step 4: Simplify right side
    7,860.80x = 46,763,465.57
  5. Step 5: Solve for x
    x = 46,763,465.57/7,860.80
  6. Step 6: Final answer
    x = 5,948.94

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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.