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Finding the Fourth Proportional to 12,840, 19,229.04 and 6,249.84

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Solution

The fourth proportional to 12,840, 19,229.04 and 6,249.84 is: 9,359.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,840 : 19,229.04 = 6,249.84 : x
  2. Step 2: Convert to fraction form
    12,840/19,229.04 = 6,249.84/x
  3. Step 3: Cross multiply
    12,840x = 19,229.04 × 6,249.84
  4. Step 4: Simplify right side
    12,840x = 120,178,423.35
  5. Step 5: Solve for x
    x = 120,178,423.35/12,840
  6. Step 6: Final answer
    x = 9,359.69

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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.