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Finding the Fourth Proportional to 15,880.73, 21,916.41 and 9,166.64

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Solution

The fourth proportional to 15,880.73, 21,916.41 and 9,166.64 is: 12,650.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,880.73 : 21,916.41 = 9,166.64 : x
  2. Step 2: Convert to fraction form
    15,880.73/21,916.41 = 9,166.64/x
  3. Step 3: Cross multiply
    15,880.73x = 21,916.41 × 9,166.64
  4. Step 4: Simplify right side
    15,880.73x = 200,899,840.56
  5. Step 5: Solve for x
    x = 200,899,840.56/15,880.73
  6. Step 6: Final answer
    x = 12,650.54

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1.5x scale

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.