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Finding the Fourth Proportional to 7,148.49, 10,724.09 and 2,216.99

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Solution

The fourth proportional to 7,148.49, 10,724.09 and 2,216.99 is: 3,325.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,148.49 : 10,724.09 = 2,216.99 : x
  2. Step 2: Convert to fraction form
    7,148.49/10,724.09 = 2,216.99/x
  3. Step 3: Cross multiply
    7,148.49x = 10,724.09 × 2,216.99
  4. Step 4: Simplify right side
    7,148.49x = 23,775,135.58
  5. Step 5: Solve for x
    x = 23,775,135.58/7,148.49
  6. Step 6: Final answer
    x = 3,325.90

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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.