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Finding the Fourth Proportional to 10,408.02, 15,623.03 and 10,172.98

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Solution

The fourth proportional to 10,408.02, 15,623.03 and 10,172.98 is: 15,270.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,408.02 : 15,623.03 = 10,172.98 : x
  2. Step 2: Convert to fraction form
    10,408.02/15,623.03 = 10,172.98/x
  3. Step 3: Cross multiply
    10,408.02x = 15,623.03 × 10,172.98
  4. Step 4: Simplify right side
    10,408.02x = 158,932,771.73
  5. Step 5: Solve for x
    x = 158,932,771.73/10,408.02
  6. Step 6: Final answer
    x = 15,270.22

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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.