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Finding the Fourth Proportional to 13,014.28, 17,950 and 8,477.96

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Solution

The fourth proportional to 13,014.28, 17,950 and 8,477.96 is: 11,693.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,014.28 : 17,950 = 8,477.96 : x
  2. Step 2: Convert to fraction form
    13,014.28/17,950 = 8,477.96/x
  3. Step 3: Cross multiply
    13,014.28x = 17,950 × 8,477.96
  4. Step 4: Simplify right side
    13,014.28x = 152,179,382.00
  5. Step 5: Solve for x
    x = 152,179,382.00/13,014.28
  6. Step 6: Final answer
    x = 11,693.26

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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.