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Finding the Fourth Proportional to 7,711.09, 11,511.85 and 7,437.71

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Solution

The fourth proportional to 7,711.09, 11,511.85 and 7,437.71 is: 11,103.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,711.09 : 11,511.85 = 7,437.71 : x
  2. Step 2: Convert to fraction form
    7,711.09/11,511.85 = 7,437.71/x
  3. Step 3: Cross multiply
    7,711.09x = 11,511.85 × 7,437.71
  4. Step 4: Simplify right side
    7,711.09x = 85,621,812.05
  5. Step 5: Solve for x
    x = 85,621,812.05/7,711.09
  6. Step 6: Final answer
    x = 11,103.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.