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Finding the Fourth Proportional to 6,378.75, 8,797.01 and 4,138.49

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Solution

The fourth proportional to 6,378.75, 8,797.01 and 4,138.49 is: 5,707.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,378.75 : 8,797.01 = 4,138.49 : x
  2. Step 2: Convert to fraction form
    6,378.75/8,797.01 = 4,138.49/x
  3. Step 3: Cross multiply
    6,378.75x = 8,797.01 × 4,138.49
  4. Step 4: Simplify right side
    6,378.75x = 36,406,339.21
  5. Step 5: Solve for x
    x = 36,406,339.21/6,378.75
  6. Step 6: Final answer
    x = 5,707.44

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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.