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Finding the Fourth Proportional to 11,256, 16,885.20 and 3,048

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Solution

The fourth proportional to 11,256, 16,885.20 and 3,048 is: 4,572.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,256 : 16,885.20 = 3,048 : x
  2. Step 2: Convert to fraction form
    11,256/16,885.20 = 3,048/x
  3. Step 3: Cross multiply
    11,256x = 16,885.20 × 3,048
  4. Step 4: Simplify right side
    11,256x = 51,466,089.60
  5. Step 5: Solve for x
    x = 51,466,089.60/11,256
  6. Step 6: Final answer
    x = 4,572.32

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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.