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Finding the Fourth Proportional to 7,771.73, 11,660.79 and 5,702.28

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Solution

The fourth proportional to 7,771.73, 11,660.79 and 5,702.28 is: 8,555.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,771.73 : 11,660.79 = 5,702.28 : x
  2. Step 2: Convert to fraction form
    7,771.73/11,660.79 = 5,702.28/x
  3. Step 3: Cross multiply
    7,771.73x = 11,660.79 × 5,702.28
  4. Step 4: Simplify right side
    7,771.73x = 66,493,089.60
  5. Step 5: Solve for x
    x = 66,493,089.60/7,771.73
  6. Step 6: Final answer
    x = 8,555.77

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1.5x scale

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.