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Finding the Fourth Proportional to 9,704.50, 13,390.05 and 5,725.78

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Solution

The fourth proportional to 9,704.50, 13,390.05 and 5,725.78 is: 7,900.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,704.50 : 13,390.05 = 5,725.78 : x
  2. Step 2: Convert to fraction form
    9,704.50/13,390.05 = 5,725.78/x
  3. Step 3: Cross multiply
    9,704.50x = 13,390.05 × 5,725.78
  4. Step 4: Simplify right side
    9,704.50x = 76,668,480.49
  5. Step 5: Solve for x
    x = 76,668,480.49/9,704.50
  6. Step 6: Final answer
    x = 7,900.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.