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Finding the Fourth Proportional to 8,523.70, 12,783.60 and 2,678.92

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Solution

The fourth proportional to 8,523.70, 12,783.60 and 2,678.92 is: 4,017.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,523.70 : 12,783.60 = 2,678.92 : x
  2. Step 2: Convert to fraction form
    8,523.70/12,783.60 = 2,678.92/x
  3. Step 3: Cross multiply
    8,523.70x = 12,783.60 × 2,678.92
  4. Step 4: Simplify right side
    8,523.70x = 34,246,241.71
  5. Step 5: Solve for x
    x = 34,246,241.71/8,523.70
  6. Step 6: Final answer
    x = 4,017.77

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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.