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Finding the Fourth Proportional to 12,661.94, 18,972.10 and 4,337.41

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Solution

The fourth proportional to 12,661.94, 18,972.10 and 4,337.41 is: 6,498.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,661.94 : 18,972.10 = 4,337.41 : x
  2. Step 2: Convert to fraction form
    12,661.94/18,972.10 = 4,337.41/x
  3. Step 3: Cross multiply
    12,661.94x = 18,972.10 × 4,337.41
  4. Step 4: Simplify right side
    12,661.94x = 82,289,776.26
  5. Step 5: Solve for x
    x = 82,289,776.26/12,661.94
  6. Step 6: Final answer
    x = 6,498.99

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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.