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Finding the Fourth Proportional to 15,886, 21,922.74 and 8,813.44

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Solution

The fourth proportional to 15,886, 21,922.74 and 8,813.44 is: 12,162.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,886 : 21,922.74 = 8,813.44 : x
  2. Step 2: Convert to fraction form
    15,886/21,922.74 = 8,813.44/x
  3. Step 3: Cross multiply
    15,886x = 21,922.74 × 8,813.44
  4. Step 4: Simplify right side
    15,886x = 193,214,753.63
  5. Step 5: Solve for x
    x = 193,214,753.63/15,886
  6. Step 6: Final answer
    x = 12,162.58

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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.