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Finding the Fourth Proportional to 13,964.70, 20,914.65 and 9,558.30

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Solution

The fourth proportional to 13,964.70, 20,914.65 and 9,558.30 is: 14,315.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,964.70 : 20,914.65 = 9,558.30 : x
  2. Step 2: Convert to fraction form
    13,964.70/20,914.65 = 9,558.30/x
  3. Step 3: Cross multiply
    13,964.70x = 20,914.65 × 9,558.30
  4. Step 4: Simplify right side
    13,964.70x = 199,908,499.10
  5. Step 5: Solve for x
    x = 199,908,499.10/13,964.70
  6. Step 6: Final answer
    x = 14,315.27

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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.