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Finding the Fourth Proportional to 7,216.09, 9,958.21 and 4,191.80

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Solution

The fourth proportional to 7,216.09, 9,958.21 and 4,191.80 is: 5,784.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,216.09 : 9,958.21 = 4,191.80 : x
  2. Step 2: Convert to fraction form
    7,216.09/9,958.21 = 4,191.80/x
  3. Step 3: Cross multiply
    7,216.09x = 9,958.21 × 4,191.80
  4. Step 4: Simplify right side
    7,216.09x = 41,742,764.41
  5. Step 5: Solve for x
    x = 41,742,764.41/7,216.09
  6. Step 6: Final answer
    x = 5,784.68

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1.5x scale

Why These Related Problems?

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