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Finding the Fourth Proportional to 13,652.71, 20,475.25 and 3,789.64

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Solution

The fourth proportional to 13,652.71, 20,475.25 and 3,789.64 is: 5,683.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,652.71 : 20,475.25 = 3,789.64 : x
  2. Step 2: Convert to fraction form
    13,652.71/20,475.25 = 3,789.64/x
  3. Step 3: Cross multiply
    13,652.71x = 20,475.25 × 3,789.64
  4. Step 4: Simplify right side
    13,652.71x = 77,593,826.41
  5. Step 5: Solve for x
    x = 77,593,826.41/13,652.71
  6. Step 6: Final answer
    x = 5,683.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.