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Finding the Fourth Proportional to 5,838.20, 8,705.88 and 5,785.55

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Solution

The fourth proportional to 5,838.20, 8,705.88 and 5,785.55 is: 8,627.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,838.20 : 8,705.88 = 5,785.55 : x
  2. Step 2: Convert to fraction form
    5,838.20/8,705.88 = 5,785.55/x
  3. Step 3: Cross multiply
    5,838.20x = 8,705.88 × 5,785.55
  4. Step 4: Simplify right side
    5,838.20x = 50,368,260.50
  5. Step 5: Solve for x
    x = 50,368,260.50/5,838.20
  6. Step 6: Final answer
    x = 8,627.37

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