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Finding the Fourth Proportional to 11,763, 16,232.40 and 6,457.90

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Solution

The fourth proportional to 11,763, 16,232.40 and 6,457.90 is: 8,911.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,763 : 16,232.40 = 6,457.90 : x
  2. Step 2: Convert to fraction form
    11,763/16,232.40 = 6,457.90/x
  3. Step 3: Cross multiply
    11,763x = 16,232.40 × 6,457.90
  4. Step 4: Simplify right side
    11,763x = 104,827,215.96
  5. Step 5: Solve for x
    x = 104,827,215.96/11,763
  6. Step 6: Final answer
    x = 8,911.61

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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.