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Finding the Fourth Proportional to 18,667.36, 25,761 and 10,283.86

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Solution

The fourth proportional to 18,667.36, 25,761 and 10,283.86 is: 14,191.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,667.36 : 25,761 = 10,283.86 : x
  2. Step 2: Convert to fraction form
    18,667.36/25,761 = 10,283.86/x
  3. Step 3: Cross multiply
    18,667.36x = 25,761 × 10,283.86
  4. Step 4: Simplify right side
    18,667.36x = 264,922,517.46
  5. Step 5: Solve for x
    x = 264,922,517.46/18,667.36
  6. Step 6: Final answer
    x = 14,191.75

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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.