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Finding the Fourth Proportional to 7,478.73, 11,198.43 and 6,822.63

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Solution

The fourth proportional to 7,478.73, 11,198.43 and 6,822.63 is: 10,216.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,478.73 : 11,198.43 = 6,822.63 : x
  2. Step 2: Convert to fraction form
    7,478.73/11,198.43 = 6,822.63/x
  3. Step 3: Cross multiply
    7,478.73x = 11,198.43 × 6,822.63
  4. Step 4: Simplify right side
    7,478.73x = 76,402,744.47
  5. Step 5: Solve for x
    x = 76,402,744.47/7,478.73
  6. Step 6: Final answer
    x = 10,216.01

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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.