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Finding the Fourth Proportional to 8,511.75, 11,746.22 and 4,977.93

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Solution

The fourth proportional to 8,511.75, 11,746.22 and 4,977.93 is: 6,869.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,511.75 : 11,746.22 = 4,977.93 : x
  2. Step 2: Convert to fraction form
    8,511.75/11,746.22 = 4,977.93/x
  3. Step 3: Cross multiply
    8,511.75x = 11,746.22 × 4,977.93
  4. Step 4: Simplify right side
    8,511.75x = 58,471,836.03
  5. Step 5: Solve for x
    x = 58,471,836.03/8,511.75
  6. Step 6: Final answer
    x = 6,869.54

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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.