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Finding the Fourth Proportional to 18,667.32, 25,761 and 10,283.76

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Solution

The fourth proportional to 18,667.32, 25,761 and 10,283.76 is: 14,191.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,667.32 : 25,761 = 10,283.76 : x
  2. Step 2: Convert to fraction form
    18,667.32/25,761 = 10,283.76/x
  3. Step 3: Cross multiply
    18,667.32x = 25,761 × 10,283.76
  4. Step 4: Simplify right side
    18,667.32x = 264,919,941.36
  5. Step 5: Solve for x
    x = 264,919,941.36/18,667.32
  6. Step 6: Final answer
    x = 14,191.64

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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.