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Finding the Fourth Proportional to 6,445.78, 8,894.71 and 3,792.83

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Solution

The fourth proportional to 6,445.78, 8,894.71 and 3,792.83 is: 5,233.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,445.78 : 8,894.71 = 3,792.83 : x
  2. Step 2: Convert to fraction form
    6,445.78/8,894.71 = 3,792.83/x
  3. Step 3: Cross multiply
    6,445.78x = 8,894.71 × 3,792.83
  4. Step 4: Simplify right side
    6,445.78x = 33,736,083.20
  5. Step 5: Solve for x
    x = 33,736,083.20/6,445.78
  6. Step 6: Final answer
    x = 5,233.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.