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Finding the Fourth Proportional to 14,555.44, 20,086.50 and 7,931.44

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Solution

The fourth proportional to 14,555.44, 20,086.50 and 7,931.44 is: 10,945.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,555.44 : 20,086.50 = 7,931.44 : x
  2. Step 2: Convert to fraction form
    14,555.44/20,086.50 = 7,931.44/x
  3. Step 3: Cross multiply
    14,555.44x = 20,086.50 × 7,931.44
  4. Step 4: Simplify right side
    14,555.44x = 159,314,869.56
  5. Step 5: Solve for x
    x = 159,314,869.56/14,555.44
  6. Step 6: Final answer
    x = 10,945.38

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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.