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Finding the Fourth Proportional to 14,580, 20,120.64 and 7,956

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Solution

The fourth proportional to 14,580, 20,120.64 and 7,956 is: 10,979.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,580 : 20,120.64 = 7,956 : x
  2. Step 2: Convert to fraction form
    14,580/20,120.64 = 7,956/x
  3. Step 3: Cross multiply
    14,580x = 20,120.64 × 7,956
  4. Step 4: Simplify right side
    14,580x = 160,079,811.84
  5. Step 5: Solve for x
    x = 160,079,811.84/14,580
  6. Step 6: Final answer
    x = 10,979.41

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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.