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Finding the Fourth Proportional to 8,622, 12,923.79 and 4,916.25

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Solution

The fourth proportional to 8,622, 12,923.79 and 4,916.25 is: 7,369.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,622 : 12,923.79 = 4,916.25 : x
  2. Step 2: Convert to fraction form
    8,622/12,923.79 = 4,916.25/x
  3. Step 3: Cross multiply
    8,622x = 12,923.79 × 4,916.25
  4. Step 4: Simplify right side
    8,622x = 63,536,582.59
  5. Step 5: Solve for x
    x = 63,536,582.59/8,622
  6. Step 6: Final answer
    x = 7,369.12

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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.