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Finding the Fourth Proportional to 3,831.76, 5,748.26 and 1,640.52

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Solution

The fourth proportional to 3,831.76, 5,748.26 and 1,640.52 is: 2,461.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,831.76 : 5,748.26 = 1,640.52 : x
  2. Step 2: Convert to fraction form
    3,831.76/5,748.26 = 1,640.52/x
  3. Step 3: Cross multiply
    3,831.76x = 5,748.26 × 1,640.52
  4. Step 4: Simplify right side
    3,831.76x = 9,430,135.50
  5. Step 5: Solve for x
    x = 9,430,135.50/3,831.76
  6. Step 6: Final answer
    x = 2,461.05

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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.