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Finding the Fourth Proportional to 2,831.03, 3,906.12 and 1,652.17

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Solution

The fourth proportional to 2,831.03, 3,906.12 and 1,652.17 is: 2,279.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,831.03 : 3,906.12 = 1,652.17 : x
  2. Step 2: Convert to fraction form
    2,831.03/3,906.12 = 1,652.17/x
  3. Step 3: Cross multiply
    2,831.03x = 3,906.12 × 1,652.17
  4. Step 4: Simplify right side
    2,831.03x = 6,453,574.28
  5. Step 5: Solve for x
    x = 6,453,574.28/2,831.03
  6. Step 6: Final answer
    x = 2,279.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.