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Finding the Fourth Proportional to 8,072, 11,139.84 and 5,378.56

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Solution

The fourth proportional to 8,072, 11,139.84 and 5,378.56 is: 7,422.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,072 : 11,139.84 = 5,378.56 : x
  2. Step 2: Convert to fraction form
    8,072/11,139.84 = 5,378.56/x
  3. Step 3: Cross multiply
    8,072x = 11,139.84 × 5,378.56
  4. Step 4: Simplify right side
    8,072x = 59,916,297.83
  5. Step 5: Solve for x
    x = 59,916,297.83/8,072
  6. Step 6: Final answer
    x = 7,422.73

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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.