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Finding the Fourth Proportional to 6,546.38, 9,821.19 and 5,378.36

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Solution

The fourth proportional to 6,546.38, 9,821.19 and 5,378.36 is: 8,068.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,546.38 : 9,821.19 = 5,378.36 : x
  2. Step 2: Convert to fraction form
    6,546.38/9,821.19 = 5,378.36/x
  3. Step 3: Cross multiply
    6,546.38x = 9,821.19 × 5,378.36
  4. Step 4: Simplify right side
    6,546.38x = 52,821,895.45
  5. Step 5: Solve for x
    x = 52,821,895.45/6,546.38
  6. Step 6: Final answer
    x = 8,068.87

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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.