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Finding the Fourth Proportional to 12,282.50, 18,423.87 and 3,048.50

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Solution

The fourth proportional to 12,282.50, 18,423.87 and 3,048.50 is: 4,572.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,282.50 : 18,423.87 = 3,048.50 : x
  2. Step 2: Convert to fraction form
    12,282.50/18,423.87 = 3,048.50/x
  3. Step 3: Cross multiply
    12,282.50x = 18,423.87 × 3,048.50
  4. Step 4: Simplify right side
    12,282.50x = 56,165,167.70
  5. Step 5: Solve for x
    x = 56,165,167.70/12,282.50
  6. Step 6: Final answer
    x = 4,572.78

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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.