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Finding the Fourth Proportional to 14,956.72, 20,640.41 and 8,242.59

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Solution

The fourth proportional to 14,956.72, 20,640.41 and 8,242.59 is: 11,374.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,956.72 : 20,640.41 = 8,242.59 : x
  2. Step 2: Convert to fraction form
    14,956.72/20,640.41 = 8,242.59/x
  3. Step 3: Cross multiply
    14,956.72x = 20,640.41 × 8,242.59
  4. Step 4: Simplify right side
    14,956.72x = 170,130,473.12
  5. Step 5: Solve for x
    x = 170,130,473.12/14,956.72
  6. Step 6: Final answer
    x = 11,374.85

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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.