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Finding the Fourth Proportional to 11,096, 15,312.64 and 6,128

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Solution

The fourth proportional to 11,096, 15,312.64 and 6,128 is: 8,456.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,096 : 15,312.64 = 6,128 : x
  2. Step 2: Convert to fraction form
    11,096/15,312.64 = 6,128/x
  3. Step 3: Cross multiply
    11,096x = 15,312.64 × 6,128
  4. Step 4: Simplify right side
    11,096x = 93,835,857.92
  5. Step 5: Solve for x
    x = 93,835,857.92/11,096
  6. Step 6: Final answer
    x = 8,456.73

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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.