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Finding the Fourth Proportional to 12,257.65, 16,916.69 and 7,223.43

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Solution

The fourth proportional to 12,257.65, 16,916.69 and 7,223.43 is: 9,969.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,257.65 : 16,916.69 = 7,223.43 : x
  2. Step 2: Convert to fraction form
    12,257.65/16,916.69 = 7,223.43/x
  3. Step 3: Cross multiply
    12,257.65x = 16,916.69 × 7,223.43
  4. Step 4: Simplify right side
    12,257.65x = 122,196,544.11
  5. Step 5: Solve for x
    x = 122,196,544.11/12,257.65
  6. Step 6: Final answer
    x = 9,969.00

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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.