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Finding the Fourth Proportional to 10,878.60, 16,288.74 and 5,673.54

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Solution

The fourth proportional to 10,878.60, 16,288.74 and 5,673.54 is: 8,495.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,878.60 : 16,288.74 = 5,673.54 : x
  2. Step 2: Convert to fraction form
    10,878.60/16,288.74 = 5,673.54/x
  3. Step 3: Cross multiply
    10,878.60x = 16,288.74 × 5,673.54
  4. Step 4: Simplify right side
    10,878.60x = 92,414,817.94
  5. Step 5: Solve for x
    x = 92,414,817.94/10,878.60
  6. Step 6: Final answer
    x = 8,495.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.