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Finding the Fourth Proportional to 14,380.57, 21,574.10 and 5,617.99

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Solution

The fourth proportional to 14,380.57, 21,574.10 and 5,617.99 is: 8,428.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,380.57 : 21,574.10 = 5,617.99 : x
  2. Step 2: Convert to fraction form
    14,380.57/21,574.10 = 5,617.99/x
  3. Step 3: Cross multiply
    14,380.57x = 21,574.10 × 5,617.99
  4. Step 4: Simplify right side
    14,380.57x = 121,203,078.06
  5. Step 5: Solve for x
    x = 121,203,078.06/14,380.57
  6. Step 6: Final answer
    x = 8,428.25

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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.