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Finding the Fourth Proportional to 11,328.23, 16,978.46 and 5,086.64

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Solution

The fourth proportional to 11,328.23, 16,978.46 and 5,086.64 is: 7,623.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,328.23 : 16,978.46 = 5,086.64 : x
  2. Step 2: Convert to fraction form
    11,328.23/16,978.46 = 5,086.64/x
  3. Step 3: Cross multiply
    11,328.23x = 16,978.46 × 5,086.64
  4. Step 4: Simplify right side
    11,328.23x = 86,363,203.45
  5. Step 5: Solve for x
    x = 86,363,203.45/11,328.23
  6. Step 6: Final answer
    x = 7,623.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.