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Finding the Fourth Proportional to 10,003.80, 14,996.10 and 7,781.40

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Solution

The fourth proportional to 10,003.80, 14,996.10 and 7,781.40 is: 11,664.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,003.80 : 14,996.10 = 7,781.40 : x
  2. Step 2: Convert to fraction form
    10,003.80/14,996.10 = 7,781.40/x
  3. Step 3: Cross multiply
    10,003.80x = 14,996.10 × 7,781.40
  4. Step 4: Simplify right side
    10,003.80x = 116,690,652.54
  5. Step 5: Solve for x
    x = 116,690,652.54/10,003.80
  6. Step 6: Final answer
    x = 11,664.63

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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.