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Finding the Fourth Proportional to 12,384.54, 17,089.83 and 6,795.90

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Solution

The fourth proportional to 12,384.54, 17,089.83 and 6,795.90 is: 9,377.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,384.54 : 17,089.83 = 6,795.90 : x
  2. Step 2: Convert to fraction form
    12,384.54/17,089.83 = 6,795.90/x
  3. Step 3: Cross multiply
    12,384.54x = 17,089.83 × 6,795.90
  4. Step 4: Simplify right side
    12,384.54x = 116,140,775.70
  5. Step 5: Solve for x
    x = 116,140,775.70/12,384.54
  6. Step 6: Final answer
    x = 9,377.88

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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.