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Finding the Fourth Proportional to 7,869.80, 11,794.34 and 3,704.16

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Solution

The fourth proportional to 7,869.80, 11,794.34 and 3,704.16 is: 5,551.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,869.80 : 11,794.34 = 3,704.16 : x
  2. Step 2: Convert to fraction form
    7,869.80/11,794.34 = 3,704.16/x
  3. Step 3: Cross multiply
    7,869.80x = 11,794.34 × 3,704.16
  4. Step 4: Simplify right side
    7,869.80x = 43,688,122.45
  5. Step 5: Solve for x
    x = 43,688,122.45/7,869.80
  6. Step 6: Final answer
    x = 5,551.36

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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.