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Finding the Fourth Proportional to 11,303.94, 16,949.79 and 8,978.88

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Solution

The fourth proportional to 11,303.94, 16,949.79 and 8,978.88 is: 13,463.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,303.94 : 16,949.79 = 8,978.88 : x
  2. Step 2: Convert to fraction form
    11,303.94/16,949.79 = 8,978.88/x
  3. Step 3: Cross multiply
    11,303.94x = 16,949.79 × 8,978.88
  4. Step 4: Simplify right side
    11,303.94x = 152,190,130.44
  5. Step 5: Solve for x
    x = 152,190,130.44/11,303.94
  6. Step 6: Final answer
    x = 13,463.46

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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.