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Finding the Fourth Proportional to 7,662.69, 11,491.96 and 2,114.70

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Solution

The fourth proportional to 7,662.69, 11,491.96 and 2,114.70 is: 3,171.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,662.69 : 11,491.96 = 2,114.70 : x
  2. Step 2: Convert to fraction form
    7,662.69/11,491.96 = 2,114.70/x
  3. Step 3: Cross multiply
    7,662.69x = 11,491.96 × 2,114.70
  4. Step 4: Simplify right side
    7,662.69x = 24,302,047.81
  5. Step 5: Solve for x
    x = 24,302,047.81/7,662.69
  6. Step 6: Final answer
    x = 3,171.48

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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.