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Finding the Fourth Proportional to 9,351.78, 14,027.70 and 8,781.54

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Solution

The fourth proportional to 9,351.78, 14,027.70 and 8,781.54 is: 13,172.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,351.78 : 14,027.70 = 8,781.54 : x
  2. Step 2: Convert to fraction form
    9,351.78/14,027.70 = 8,781.54/x
  3. Step 3: Cross multiply
    9,351.78x = 14,027.70 × 8,781.54
  4. Step 4: Simplify right side
    9,351.78x = 123,184,808.66
  5. Step 5: Solve for x
    x = 123,184,808.66/9,351.78
  6. Step 6: Final answer
    x = 13,172.34

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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.