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Finding the Fourth Proportional to 7,792.73, 11,730.73 and 6,989

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Solution

The fourth proportional to 7,792.73, 11,730.73 and 6,989 is: 10,520.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,792.73 : 11,730.73 = 6,989 : x
  2. Step 2: Convert to fraction form
    7,792.73/11,730.73 = 6,989/x
  3. Step 3: Cross multiply
    7,792.73x = 11,730.73 × 6,989
  4. Step 4: Simplify right side
    7,792.73x = 81,986,037.03
  5. Step 5: Solve for x
    x = 81,986,037.03/7,792.73
  6. Step 6: Final answer
    x = 10,520.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.