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Finding the Fourth Proportional to 11,800.50, 16,284.70 and 6,495.20

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Solution

The fourth proportional to 11,800.50, 16,284.70 and 6,495.20 is: 8,963.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,800.50 : 16,284.70 = 6,495.20 : x
  2. Step 2: Convert to fraction form
    11,800.50/16,284.70 = 6,495.20/x
  3. Step 3: Cross multiply
    11,800.50x = 16,284.70 × 6,495.20
  4. Step 4: Simplify right side
    11,800.50x = 105,772,383.44
  5. Step 5: Solve for x
    x = 105,772,383.44/11,800.50
  6. Step 6: Final answer
    x = 8,963.38

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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.