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Finding the Fourth Proportional to 11,556, 15,946.86 and 6,520.32

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Solution

The fourth proportional to 11,556, 15,946.86 and 6,520.32 is: 8,997.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,556 : 15,946.86 = 6,520.32 : x
  2. Step 2: Convert to fraction form
    11,556/15,946.86 = 6,520.32/x
  3. Step 3: Cross multiply
    11,556x = 15,946.86 × 6,520.32
  4. Step 4: Simplify right side
    11,556x = 103,978,630.20
  5. Step 5: Solve for x
    x = 103,978,630.20/11,556
  6. Step 6: Final answer
    x = 8,997.80

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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.