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Finding the Fourth Proportional to 12,622.51, 18,916.89 and 9,686.44

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Solution

The fourth proportional to 12,622.51, 18,916.89 and 9,686.44 is: 14,516.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,622.51 : 18,916.89 = 9,686.44 : x
  2. Step 2: Convert to fraction form
    12,622.51/18,916.89 = 9,686.44/x
  3. Step 3: Cross multiply
    12,622.51x = 18,916.89 × 9,686.44
  4. Step 4: Simplify right side
    12,622.51x = 183,237,319.97
  5. Step 5: Solve for x
    x = 183,237,319.97/12,622.51
  6. Step 6: Final answer
    x = 14,516.71

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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.