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Finding the Fourth Proportional to 14,089.50, 21,137.49 and 4,855.50

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Solution

The fourth proportional to 14,089.50, 21,137.49 and 4,855.50 is: 7,284.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,089.50 : 21,137.49 = 4,855.50 : x
  2. Step 2: Convert to fraction form
    14,089.50/21,137.49 = 4,855.50/x
  3. Step 3: Cross multiply
    14,089.50x = 21,137.49 × 4,855.50
  4. Step 4: Simplify right side
    14,089.50x = 102,633,082.70
  5. Step 5: Solve for x
    x = 102,633,082.70/14,089.50
  6. Step 6: Final answer
    x = 7,284.37

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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.