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Finding the Fourth Proportional to 5,815.05, 8,661 and 5,786.73

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Solution

The fourth proportional to 5,815.05, 8,661 and 5,786.73 is: 8,618.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,815.05 : 8,661 = 5,786.73 : x
  2. Step 2: Convert to fraction form
    5,815.05/8,661 = 5,786.73/x
  3. Step 3: Cross multiply
    5,815.05x = 8,661 × 5,786.73
  4. Step 4: Simplify right side
    5,815.05x = 50,118,868.53
  5. Step 5: Solve for x
    x = 50,118,868.53/5,815.05
  6. Step 6: Final answer
    x = 8,618.82

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Half scale
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Double scale
Find fourth proportional to 5,816.05, 8,662.49 and 5,787.73
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.