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Finding the Fourth Proportional to 3,831.63, 5,288.99 and 2,259.63

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Solution

The fourth proportional to 3,831.63, 5,288.99 and 2,259.63 is: 3,119.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,831.63 : 5,288.99 = 2,259.63 : x
  2. Step 2: Convert to fraction form
    3,831.63/5,288.99 = 2,259.63/x
  3. Step 3: Cross multiply
    3,831.63x = 5,288.99 × 2,259.63
  4. Step 4: Simplify right side
    3,831.63x = 11,951,160.47
  5. Step 5: Solve for x
    x = 11,951,160.47/3,831.63
  6. Step 6: Final answer
    x = 3,119.08

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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.