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Finding the Fourth Proportional to 14,517.23, 20,028 and 9,479.84

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Solution

The fourth proportional to 14,517.23, 20,028 and 9,479.84 is: 13,078.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,517.23 : 20,028 = 9,479.84 : x
  2. Step 2: Convert to fraction form
    14,517.23/20,028 = 9,479.84/x
  3. Step 3: Cross multiply
    14,517.23x = 20,028 × 9,479.84
  4. Step 4: Simplify right side
    14,517.23x = 189,862,235.52
  5. Step 5: Solve for x
    x = 189,862,235.52/14,517.23
  6. Step 6: Final answer
    x = 13,078.41

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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.