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Finding the Fourth Proportional to 13,446.95, 20,173.14 and 5,655.75

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Solution

The fourth proportional to 13,446.95, 20,173.14 and 5,655.75 is: 8,484.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,446.95 : 20,173.14 = 5,655.75 : x
  2. Step 2: Convert to fraction form
    13,446.95/20,173.14 = 5,655.75/x
  3. Step 3: Cross multiply
    13,446.95x = 20,173.14 × 5,655.75
  4. Step 4: Simplify right side
    13,446.95x = 114,094,236.56
  5. Step 5: Solve for x
    x = 114,094,236.56/13,446.95
  6. Step 6: Final answer
    x = 8,484.77

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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.