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Finding the Fourth Proportional to 9,759, 14,638.74 and 3,519.54

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Solution

The fourth proportional to 9,759, 14,638.74 and 3,519.54 is: 5,279.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,759 : 14,638.74 = 3,519.54 : x
  2. Step 2: Convert to fraction form
    9,759/14,638.74 = 3,519.54/x
  3. Step 3: Cross multiply
    9,759x = 14,638.74 × 3,519.54
  4. Step 4: Simplify right side
    9,759x = 51,521,630.98
  5. Step 5: Solve for x
    x = 51,521,630.98/9,759
  6. Step 6: Final answer
    x = 5,279.40

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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.