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Finding the Fourth Proportional to 9,462.78, 14,190.41 and 3,221.52

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Solution

The fourth proportional to 9,462.78, 14,190.41 and 3,221.52 is: 4,831.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,462.78 : 14,190.41 = 3,221.52 : x
  2. Step 2: Convert to fraction form
    9,462.78/14,190.41 = 3,221.52/x
  3. Step 3: Cross multiply
    9,462.78x = 14,190.41 × 3,221.52
  4. Step 4: Simplify right side
    9,462.78x = 45,714,673.52
  5. Step 5: Solve for x
    x = 45,714,673.52/9,462.78
  6. Step 6: Final answer
    x = 4,831.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.