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Finding the Fourth Proportional to 10,269.63, 14,172.09 and 5,553.91

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Solution

The fourth proportional to 10,269.63, 14,172.09 and 5,553.91 is: 7,664.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,269.63 : 14,172.09 = 5,553.91 : x
  2. Step 2: Convert to fraction form
    10,269.63/14,172.09 = 5,553.91/x
  3. Step 3: Cross multiply
    10,269.63x = 14,172.09 × 5,553.91
  4. Step 4: Simplify right side
    10,269.63x = 78,710,512.37
  5. Step 5: Solve for x
    x = 78,710,512.37/10,269.63
  6. Step 6: Final answer
    x = 7,664.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.