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Finding the Fourth Proportional to 13,710.10, 20,562.68 and 3,846.96

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Solution

The fourth proportional to 13,710.10, 20,562.68 and 3,846.96 is: 5,769.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,710.10 : 20,562.68 = 3,846.96 : x
  2. Step 2: Convert to fraction form
    13,710.10/20,562.68 = 3,846.96/x
  3. Step 3: Cross multiply
    13,710.10x = 20,562.68 × 3,846.96
  4. Step 4: Simplify right side
    13,710.10x = 79,103,807.45
  5. Step 5: Solve for x
    x = 79,103,807.45/13,710.10
  6. Step 6: Final answer
    x = 5,769.75

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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.