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Finding the Fourth Proportional to 11,600, 17,385.74 and 5,351.34

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Solution

The fourth proportional to 11,600, 17,385.74 and 5,351.34 is: 8,020.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,600 : 17,385.74 = 5,351.34 : x
  2. Step 2: Convert to fraction form
    11,600/17,385.74 = 5,351.34/x
  3. Step 3: Cross multiply
    11,600x = 17,385.74 × 5,351.34
  4. Step 4: Simplify right side
    11,600x = 93,037,005.89
  5. Step 5: Solve for x
    x = 93,037,005.89/11,600
  6. Step 6: Final answer
    x = 8,020.43

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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.