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Finding the Fourth Proportional to 13,305.86, 19,958.97 and 6,378.74

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Solution

The fourth proportional to 13,305.86, 19,958.97 and 6,378.74 is: 9,568.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,305.86 : 19,958.97 = 6,378.74 : x
  2. Step 2: Convert to fraction form
    13,305.86/19,958.97 = 6,378.74/x
  3. Step 3: Cross multiply
    13,305.86x = 19,958.97 × 6,378.74
  4. Step 4: Simplify right side
    13,305.86x = 127,313,080.30
  5. Step 5: Solve for x
    x = 127,313,080.30/13,305.86
  6. Step 6: Final answer
    x = 9,568.20

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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.