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Finding the Fourth Proportional to 3,831.40, 5,288.02 and 2,259.40

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Solution

The fourth proportional to 3,831.40, 5,288.02 and 2,259.40 is: 3,118.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,831.40 : 5,288.02 = 2,259.40 : x
  2. Step 2: Convert to fraction form
    3,831.40/5,288.02 = 2,259.40/x
  3. Step 3: Cross multiply
    3,831.40x = 5,288.02 × 2,259.40
  4. Step 4: Simplify right side
    3,831.40x = 11,947,752.39
  5. Step 5: Solve for x
    x = 11,947,752.39/3,831.40
  6. Step 6: Final answer
    x = 3,118.38

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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.