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Finding the Fourth Proportional to 14,123.69, 21,178.88 and 5,232.89

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Solution

The fourth proportional to 14,123.69, 21,178.88 and 5,232.89 is: 7,846.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,123.69 : 21,178.88 = 5,232.89 : x
  2. Step 2: Convert to fraction form
    14,123.69/21,178.88 = 5,232.89/x
  3. Step 3: Cross multiply
    14,123.69x = 21,178.88 × 5,232.89
  4. Step 4: Simplify right side
    14,123.69x = 110,826,723.20
  5. Step 5: Solve for x
    x = 110,826,723.20/14,123.69
  6. Step 6: Final answer
    x = 7,846.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.