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Finding the Fourth Proportional to 8,469, 12,727.80 and 8,420.40

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Solution

The fourth proportional to 8,469, 12,727.80 and 8,420.40 is: 12,654.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,469 : 12,727.80 = 8,420.40 : x
  2. Step 2: Convert to fraction form
    8,469/12,727.80 = 8,420.40/x
  3. Step 3: Cross multiply
    8,469x = 12,727.80 × 8,420.40
  4. Step 4: Simplify right side
    8,469x = 107,173,167.12
  5. Step 5: Solve for x
    x = 107,173,167.12/8,469
  6. Step 6: Final answer
    x = 12,654.76

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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.