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Finding the Fourth Proportional to 8,378.86, 12,568.20 and 2,053.81

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Solution

The fourth proportional to 8,378.86, 12,568.20 and 2,053.81 is: 3,080.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,378.86 : 12,568.20 = 2,053.81 : x
  2. Step 2: Convert to fraction form
    8,378.86/12,568.20 = 2,053.81/x
  3. Step 3: Cross multiply
    8,378.86x = 12,568.20 × 2,053.81
  4. Step 4: Simplify right side
    8,378.86x = 25,812,694.84
  5. Step 5: Solve for x
    x = 25,812,694.84/8,378.86
  6. Step 6: Final answer
    x = 3,080.69

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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.