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Finding the Fourth Proportional to 14,450.40, 19,940.04 and 9,072

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Solution

The fourth proportional to 14,450.40, 19,940.04 and 9,072 is: 12,518.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,450.40 : 19,940.04 = 9,072 : x
  2. Step 2: Convert to fraction form
    14,450.40/19,940.04 = 9,072/x
  3. Step 3: Cross multiply
    14,450.40x = 19,940.04 × 9,072
  4. Step 4: Simplify right side
    14,450.40x = 180,896,042.88
  5. Step 5: Solve for x
    x = 180,896,042.88/14,450.40
  6. Step 6: Final answer
    x = 12,518.41

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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.