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Finding the Fourth Proportional to 13,833.64, 20,763.42 and 6,443.20

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Solution

The fourth proportional to 13,833.64, 20,763.42 and 6,443.20 is: 9,670.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,833.64 : 20,763.42 = 6,443.20 : x
  2. Step 2: Convert to fraction form
    13,833.64/20,763.42 = 6,443.20/x
  3. Step 3: Cross multiply
    13,833.64x = 20,763.42 × 6,443.20
  4. Step 4: Simplify right side
    13,833.64x = 133,782,867.74
  5. Step 5: Solve for x
    x = 133,782,867.74/13,833.64
  6. Step 6: Final answer
    x = 9,670.84

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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.