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Finding the Fourth Proportional to 14,181.81, 21,271.09 and 5,416.53

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Solution

The fourth proportional to 14,181.81, 21,271.09 and 5,416.53 is: 8,124.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,181.81 : 21,271.09 = 5,416.53 : x
  2. Step 2: Convert to fraction form
    14,181.81/21,271.09 = 5,416.53/x
  3. Step 3: Cross multiply
    14,181.81x = 21,271.09 × 5,416.53
  4. Step 4: Simplify right side
    14,181.81x = 115,215,497.12
  5. Step 5: Solve for x
    x = 115,215,497.12/14,181.81
  6. Step 6: Final answer
    x = 8,124.17

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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.