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Finding the Fourth Proportional to 9,744, 14,616 and 2,818.56

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Solution

The fourth proportional to 9,744, 14,616 and 2,818.56 is: 4,227.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,744 : 14,616 = 2,818.56 : x
  2. Step 2: Convert to fraction form
    9,744/14,616 = 2,818.56/x
  3. Step 3: Cross multiply
    9,744x = 14,616 × 2,818.56
  4. Step 4: Simplify right side
    9,744x = 41,196,072.96
  5. Step 5: Solve for x
    x = 41,196,072.96/9,744
  6. Step 6: Final answer
    x = 4,227.84

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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.