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Finding the Fourth Proportional to 8,387.84, 12,581.80 and 2,544.50

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Solution

The fourth proportional to 8,387.84, 12,581.80 and 2,544.50 is: 3,816.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,387.84 : 12,581.80 = 2,544.50 : x
  2. Step 2: Convert to fraction form
    8,387.84/12,581.80 = 2,544.50/x
  3. Step 3: Cross multiply
    8,387.84x = 12,581.80 × 2,544.50
  4. Step 4: Simplify right side
    8,387.84x = 32,014,415.19
  5. Step 5: Solve for x
    x = 32,014,415.19/8,387.84
  6. Step 6: Final answer
    x = 3,816.76

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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.