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Finding the Fourth Proportional to 5,831.21, 8,720.21 and 4,351.47

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Solution

The fourth proportional to 5,831.21, 8,720.21 and 4,351.47 is: 6,507.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,831.21 : 8,720.21 = 4,351.47 : x
  2. Step 2: Convert to fraction form
    5,831.21/8,720.21 = 4,351.47/x
  3. Step 3: Cross multiply
    5,831.21x = 8,720.21 × 4,351.47
  4. Step 4: Simplify right side
    5,831.21x = 37,945,743.09
  5. Step 5: Solve for x
    x = 37,945,743.09/5,831.21
  6. Step 6: Final answer
    x = 6,507.36

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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.