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Finding the Fourth Proportional to 11,349.20, 15,662.20 and 6,872

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Solution

The fourth proportional to 11,349.20, 15,662.20 and 6,872 is: 9,483.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,349.20 : 15,662.20 = 6,872 : x
  2. Step 2: Convert to fraction form
    11,349.20/15,662.20 = 6,872/x
  3. Step 3: Cross multiply
    11,349.20x = 15,662.20 × 6,872
  4. Step 4: Simplify right side
    11,349.20x = 107,630,638.40
  5. Step 5: Solve for x
    x = 107,630,638.40/11,349.20
  6. Step 6: Final answer
    x = 9,483.54

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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.