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Finding the Fourth Proportional to 14,649.81, 21,976.01 and 4,119.92

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Solution

The fourth proportional to 14,649.81, 21,976.01 and 4,119.92 is: 6,180.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,649.81 : 21,976.01 = 4,119.92 : x
  2. Step 2: Convert to fraction form
    14,649.81/21,976.01 = 4,119.92/x
  3. Step 3: Cross multiply
    14,649.81x = 21,976.01 × 4,119.92
  4. Step 4: Simplify right side
    14,649.81x = 90,539,403.12
  5. Step 5: Solve for x
    x = 90,539,403.12/14,649.81
  6. Step 6: Final answer
    x = 6,180.24

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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.