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Finding the Fourth Proportional to 6,395.40, 8,823.92 and 3,743.46

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Solution

The fourth proportional to 6,395.40, 8,823.92 and 3,743.46 is: 5,164.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,395.40 : 8,823.92 = 3,743.46 : x
  2. Step 2: Convert to fraction form
    6,395.40/8,823.92 = 3,743.46/x
  3. Step 3: Cross multiply
    6,395.40x = 8,823.92 × 3,743.46
  4. Step 4: Simplify right side
    6,395.40x = 33,031,991.56
  5. Step 5: Solve for x
    x = 33,031,991.56/6,395.40
  6. Step 6: Final answer
    x = 5,164.96

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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.