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Finding the Fourth Proportional to 8,523.63, 12,783.62 and 2,678.87

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Solution

The fourth proportional to 8,523.63, 12,783.62 and 2,678.87 is: 4,017.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,523.63 : 12,783.62 = 2,678.87 : x
  2. Step 2: Convert to fraction form
    8,523.63/12,783.62 = 2,678.87/x
  3. Step 3: Cross multiply
    8,523.63x = 12,783.62 × 2,678.87
  4. Step 4: Simplify right side
    8,523.63x = 34,245,694.77
  5. Step 5: Solve for x
    x = 34,245,694.77/8,523.63
  6. Step 6: Final answer
    x = 4,017.74

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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.