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Finding the Fourth Proportional to 8,470.94, 12,704 and 5,346.27

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Solution

The fourth proportional to 8,470.94, 12,704 and 5,346.27 is: 8,017.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,470.94 : 12,704 = 5,346.27 : x
  2. Step 2: Convert to fraction form
    8,470.94/12,704 = 5,346.27/x
  3. Step 3: Cross multiply
    8,470.94x = 12,704 × 5,346.27
  4. Step 4: Simplify right side
    8,470.94x = 67,919,014.08
  5. Step 5: Solve for x
    x = 67,919,014.08/8,470.94
  6. Step 6: Final answer
    x = 8,017.88

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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.