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Finding the Fourth Proportional to 5,442.70, 8,164.05 and 3,138.70

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Solution

The fourth proportional to 5,442.70, 8,164.05 and 3,138.70 is: 4,708.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,442.70 : 8,164.05 = 3,138.70 : x
  2. Step 2: Convert to fraction form
    5,442.70/8,164.05 = 3,138.70/x
  3. Step 3: Cross multiply
    5,442.70x = 8,164.05 × 3,138.70
  4. Step 4: Simplify right side
    5,442.70x = 25,624,503.74
  5. Step 5: Solve for x
    x = 25,624,503.74/5,442.70
  6. Step 6: Final answer
    x = 4,708.05

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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.