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Finding the Fourth Proportional to 13,452, 18,563.85 and 8,146.86

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Solution

The fourth proportional to 13,452, 18,563.85 and 8,146.86 is: 11,242.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,452 : 18,563.85 = 8,146.86 : x
  2. Step 2: Convert to fraction form
    13,452/18,563.85 = 8,146.86/x
  3. Step 3: Cross multiply
    13,452x = 18,563.85 × 8,146.86
  4. Step 4: Simplify right side
    13,452x = 151,237,087.01
  5. Step 5: Solve for x
    x = 151,237,087.01/13,452
  6. Step 6: Final answer
    x = 11,242.72

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1.5x scale

Why These Related Problems?

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