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Finding the Fourth Proportional to 6,395.81, 8,823.37 and 3,742.05

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Solution

The fourth proportional to 6,395.81, 8,823.37 and 3,742.05 is: 5,162.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,395.81 : 8,823.37 = 3,742.05 : x
  2. Step 2: Convert to fraction form
    6,395.81/8,823.37 = 3,742.05/x
  3. Step 3: Cross multiply
    6,395.81x = 8,823.37 × 3,742.05
  4. Step 4: Simplify right side
    6,395.81x = 33,017,491.71
  5. Step 5: Solve for x
    x = 33,017,491.71/6,395.81
  6. Step 6: Final answer
    x = 5,162.36

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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.