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Finding the Fourth Proportional to 11,763, 16,233.36 and 6,457.76

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Solution

The fourth proportional to 11,763, 16,233.36 and 6,457.76 is: 8,911.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,763 : 16,233.36 = 6,457.76 : x
  2. Step 2: Convert to fraction form
    11,763/16,233.36 = 6,457.76/x
  3. Step 3: Cross multiply
    11,763x = 16,233.36 × 6,457.76
  4. Step 4: Simplify right side
    11,763x = 104,831,142.87
  5. Step 5: Solve for x
    x = 104,831,142.87/11,763
  6. Step 6: Final answer
    x = 8,911.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.