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Finding the Fourth Proportional to 5,661.81, 8,491.28 and 4,743.09

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Solution

The fourth proportional to 5,661.81, 8,491.28 and 4,743.09 is: 7,113.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,661.81 : 8,491.28 = 4,743.09 : x
  2. Step 2: Convert to fraction form
    5,661.81/8,491.28 = 4,743.09/x
  3. Step 3: Cross multiply
    5,661.81x = 8,491.28 × 4,743.09
  4. Step 4: Simplify right side
    5,661.81x = 40,274,881.54
  5. Step 5: Solve for x
    x = 40,274,881.54/5,661.81
  6. Step 6: Final answer
    x = 7,113.43

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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.