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Finding the Fourth Proportional to 8,900.44, 12,282.82 and 5,762.09

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Solution

The fourth proportional to 8,900.44, 12,282.82 and 5,762.09 is: 7,951.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,900.44 : 12,282.82 = 5,762.09 : x
  2. Step 2: Convert to fraction form
    8,900.44/12,282.82 = 5,762.09/x
  3. Step 3: Cross multiply
    8,900.44x = 12,282.82 × 5,762.09
  4. Step 4: Simplify right side
    8,900.44x = 70,774,730.60
  5. Step 5: Solve for x
    x = 70,774,730.60/8,900.44
  6. Step 6: Final answer
    x = 7,951.83

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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.