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Finding the Fourth Proportional to 10,147, 14,003.40 and 5,956.60

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Solution

The fourth proportional to 10,147, 14,003.40 and 5,956.60 is: 8,220.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,147 : 14,003.40 = 5,956.60 : x
  2. Step 2: Convert to fraction form
    10,147/14,003.40 = 5,956.60/x
  3. Step 3: Cross multiply
    10,147x = 14,003.40 × 5,956.60
  4. Step 4: Simplify right side
    10,147x = 83,412,652.44
  5. Step 5: Solve for x
    x = 83,412,652.44/10,147
  6. Step 6: Final answer
    x = 8,220.42

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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.