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Finding the Fourth Proportional to 3,889.18, 5,831.42 and 1,549.54

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Solution

The fourth proportional to 3,889.18, 5,831.42 and 1,549.54 is: 2,323.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,889.18 : 5,831.42 = 1,549.54 : x
  2. Step 2: Convert to fraction form
    3,889.18/5,831.42 = 1,549.54/x
  3. Step 3: Cross multiply
    3,889.18x = 5,831.42 × 1,549.54
  4. Step 4: Simplify right side
    3,889.18x = 9,036,018.09
  5. Step 5: Solve for x
    x = 9,036,018.09/3,889.18
  6. Step 6: Final answer
    x = 2,323.37

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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.