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Finding the Fourth Proportional to 3,886.75, 5,831.54 and 2,427.13

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Solution

The fourth proportional to 3,886.75, 5,831.54 and 2,427.13 is: 3,641.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886.75 : 5,831.54 = 2,427.13 : x
  2. Step 2: Convert to fraction form
    3,886.75/5,831.54 = 2,427.13/x
  3. Step 3: Cross multiply
    3,886.75x = 5,831.54 × 2,427.13
  4. Step 4: Simplify right side
    3,886.75x = 14,153,905.68
  5. Step 5: Solve for x
    x = 14,153,905.68/3,886.75
  6. Step 6: Final answer
    x = 3,641.58

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1.5x scale

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.