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Finding the Fourth Proportional to 14,489.70, 21,724.83 and 5,720.10

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Solution

The fourth proportional to 14,489.70, 21,724.83 and 5,720.10 is: 8,576.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,489.70 : 21,724.83 = 5,720.10 : x
  2. Step 2: Convert to fraction form
    14,489.70/21,724.83 = 5,720.10/x
  3. Step 3: Cross multiply
    14,489.70x = 21,724.83 × 5,720.10
  4. Step 4: Simplify right side
    14,489.70x = 124,268,200.08
  5. Step 5: Solve for x
    x = 124,268,200.08/14,489.70
  6. Step 6: Final answer
    x = 8,576.31

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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.