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Finding the Fourth Proportional to 13,671.65, 20,485.89 and 9,956.78

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Solution

The fourth proportional to 13,671.65, 20,485.89 and 9,956.78 is: 14,919.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,671.65 : 20,485.89 = 9,956.78 : x
  2. Step 2: Convert to fraction form
    13,671.65/20,485.89 = 9,956.78/x
  3. Step 3: Cross multiply
    13,671.65x = 20,485.89 × 9,956.78
  4. Step 4: Simplify right side
    13,671.65x = 203,973,499.83
  5. Step 5: Solve for x
    x = 203,973,499.83/13,671.65
  6. Step 6: Final answer
    x = 14,919.45

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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.