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Finding the Fourth Proportional to 5,359.84, 8,052.12 and 5,138.41

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Solution

The fourth proportional to 5,359.84, 8,052.12 and 5,138.41 is: 7,719.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,359.84 : 8,052.12 = 5,138.41 : x
  2. Step 2: Convert to fraction form
    5,359.84/8,052.12 = 5,138.41/x
  3. Step 3: Cross multiply
    5,359.84x = 8,052.12 × 5,138.41
  4. Step 4: Simplify right side
    5,359.84x = 41,375,093.93
  5. Step 5: Solve for x
    x = 41,375,093.93/5,359.84
  6. Step 6: Final answer
    x = 7,719.46

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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.