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Finding the Fourth Proportional to 8,425.71, 12,639.06 and 2,582.37

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Solution

The fourth proportional to 8,425.71, 12,639.06 and 2,582.37 is: 3,873.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,425.71 : 12,639.06 = 2,582.37 : x
  2. Step 2: Convert to fraction form
    8,425.71/12,639.06 = 2,582.37/x
  3. Step 3: Cross multiply
    8,425.71x = 12,639.06 × 2,582.37
  4. Step 4: Simplify right side
    8,425.71x = 32,638,729.37
  5. Step 5: Solve for x
    x = 32,638,729.37/8,425.71
  6. Step 6: Final answer
    x = 3,873.71

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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.