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Finding the Fourth Proportional to 6,983.44, 9,639.41 and 4,472.31

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Solution

The fourth proportional to 6,983.44, 9,639.41 and 4,472.31 is: 6,173.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,983.44 : 9,639.41 = 4,472.31 : x
  2. Step 2: Convert to fraction form
    6,983.44/9,639.41 = 4,472.31/x
  3. Step 3: Cross multiply
    6,983.44x = 9,639.41 × 4,472.31
  4. Step 4: Simplify right side
    6,983.44x = 43,110,443.52
  5. Step 5: Solve for x
    x = 43,110,443.52/6,983.44
  6. Step 6: Final answer
    x = 6,173.24

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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.