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Finding the Fourth Proportional to 13,874.64, 20,800.44 and 6,475.28

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Solution

The fourth proportional to 13,874.64, 20,800.44 and 6,475.28 is: 9,707.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,874.64 : 20,800.44 = 6,475.28 : x
  2. Step 2: Convert to fraction form
    13,874.64/20,800.44 = 6,475.28/x
  3. Step 3: Cross multiply
    13,874.64x = 20,800.44 × 6,475.28
  4. Step 4: Simplify right side
    13,874.64x = 134,688,673.12
  5. Step 5: Solve for x
    x = 134,688,673.12/13,874.64
  6. Step 6: Final answer
    x = 9,707.54

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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.