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Finding the Fourth Proportional to 2,571.70, 3,831.86 and 2,407.54

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Solution

The fourth proportional to 2,571.70, 3,831.86 and 2,407.54 is: 3,587.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,571.70 : 3,831.86 = 2,407.54 : x
  2. Step 2: Convert to fraction form
    2,571.70/3,831.86 = 2,407.54/x
  3. Step 3: Cross multiply
    2,571.70x = 3,831.86 × 2,407.54
  4. Step 4: Simplify right side
    2,571.70x = 9,225,356.22
  5. Step 5: Solve for x
    x = 9,225,356.22/2,571.70
  6. Step 6: Final answer
    x = 3,587.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.