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Finding the Fourth Proportional to 30,890.25, 46,334.91 and 9,831.56

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Solution

The fourth proportional to 30,890.25, 46,334.91 and 9,831.56 is: 14,747.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,890.25 : 46,334.91 = 9,831.56 : x
  2. Step 2: Convert to fraction form
    30,890.25/46,334.91 = 9,831.56/x
  3. Step 3: Cross multiply
    30,890.25x = 46,334.91 × 9,831.56
  4. Step 4: Simplify right side
    30,890.25x = 455,544,216.09
  5. Step 5: Solve for x
    x = 455,544,216.09/30,890.25
  6. Step 6: Final answer
    x = 14,747.18

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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.