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Finding the Fourth Proportional to 11,962, 16,509.72 and 6,929.44

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Solution

The fourth proportional to 11,962, 16,509.72 and 6,929.44 is: 9,563.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,962 : 16,509.72 = 6,929.44 : x
  2. Step 2: Convert to fraction form
    11,962/16,509.72 = 6,929.44/x
  3. Step 3: Cross multiply
    11,962x = 16,509.72 × 6,929.44
  4. Step 4: Simplify right side
    11,962x = 114,403,114.16
  5. Step 5: Solve for x
    x = 114,403,114.16/11,962
  6. Step 6: Final answer
    x = 9,563.88

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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.