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Finding the Fourth Proportional to 8,205.53, 11,325.71 and 5,624.87

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Solution

The fourth proportional to 8,205.53, 11,325.71 and 5,624.87 is: 7,763.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,205.53 : 11,325.71 = 5,624.87 : x
  2. Step 2: Convert to fraction form
    8,205.53/11,325.71 = 5,624.87/x
  3. Step 3: Cross multiply
    8,205.53x = 11,325.71 × 5,624.87
  4. Step 4: Simplify right side
    8,205.53x = 63,705,618.28
  5. Step 5: Solve for x
    x = 63,705,618.28/8,205.53
  6. Step 6: Final answer
    x = 7,763.74

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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.