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Finding the Fourth Proportional to 11,600.64, 16,012.80 and 8,064

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Solution

The fourth proportional to 11,600.64, 16,012.80 and 8,064 is: 11,131.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,600.64 : 16,012.80 = 8,064 : x
  2. Step 2: Convert to fraction form
    11,600.64/16,012.80 = 8,064/x
  3. Step 3: Cross multiply
    11,600.64x = 16,012.80 × 8,064
  4. Step 4: Simplify right side
    11,600.64x = 129,127,219.20
  5. Step 5: Solve for x
    x = 129,127,219.20/11,600.64
  6. Step 6: Final answer
    x = 11,131.04

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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.