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Finding the Fourth Proportional to 6,321.64, 9,484.30 and 1,939.74

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Solution

The fourth proportional to 6,321.64, 9,484.30 and 1,939.74 is: 2,910.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,321.64 : 9,484.30 = 1,939.74 : x
  2. Step 2: Convert to fraction form
    6,321.64/9,484.30 = 1,939.74/x
  3. Step 3: Cross multiply
    6,321.64x = 9,484.30 × 1,939.74
  4. Step 4: Simplify right side
    6,321.64x = 18,397,076.08
  5. Step 5: Solve for x
    x = 18,397,076.08/6,321.64
  6. Step 6: Final answer
    x = 2,910.17

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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.