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Finding the Fourth Proportional to 9,778.68, 14,668.05 and 2,759.34

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Solution

The fourth proportional to 9,778.68, 14,668.05 and 2,759.34 is: 4,139.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,778.68 : 14,668.05 = 2,759.34 : x
  2. Step 2: Convert to fraction form
    9,778.68/14,668.05 = 2,759.34/x
  3. Step 3: Cross multiply
    9,778.68x = 14,668.05 × 2,759.34
  4. Step 4: Simplify right side
    9,778.68x = 40,474,137.09
  5. Step 5: Solve for x
    x = 40,474,137.09/9,778.68
  6. Step 6: Final answer
    x = 4,139.02

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1.5x scale

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.