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Finding the Fourth Proportional to 14,900.65, 20,563.02 and 8,186.42

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Solution

The fourth proportional to 14,900.65, 20,563.02 and 8,186.42 is: 11,297.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,900.65 : 20,563.02 = 8,186.42 : x
  2. Step 2: Convert to fraction form
    14,900.65/20,563.02 = 8,186.42/x
  3. Step 3: Cross multiply
    14,900.65x = 20,563.02 × 8,186.42
  4. Step 4: Simplify right side
    14,900.65x = 168,337,518.19
  5. Step 5: Solve for x
    x = 168,337,518.19/14,900.65
  6. Step 6: Final answer
    x = 11,297.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.