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Finding the Fourth Proportional to 11,800.88, 16,282.60 and 6,830

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Solution

The fourth proportional to 11,800.88, 16,282.60 and 6,830 is: 9,423.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,800.88 : 16,282.60 = 6,830 : x
  2. Step 2: Convert to fraction form
    11,800.88/16,282.60 = 6,830/x
  3. Step 3: Cross multiply
    11,800.88x = 16,282.60 × 6,830
  4. Step 4: Simplify right side
    11,800.88x = 111,210,158
  5. Step 5: Solve for x
    x = 111,210,158/11,800.88
  6. Step 6: Final answer
    x = 9,423.89

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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.