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Finding the Fourth Proportional to 13,243.58, 19,847.37 and 7,311.65

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Solution

The fourth proportional to 13,243.58, 19,847.37 and 7,311.65 is: 10,957.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,243.58 : 19,847.37 = 7,311.65 : x
  2. Step 2: Convert to fraction form
    13,243.58/19,847.37 = 7,311.65/x
  3. Step 3: Cross multiply
    13,243.58x = 19,847.37 × 7,311.65
  4. Step 4: Simplify right side
    13,243.58x = 145,117,022.86
  5. Step 5: Solve for x
    x = 145,117,022.86/13,243.58
  6. Step 6: Final answer
    x = 10,957.54

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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.