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Finding the Fourth Proportional to 15,093.25, 20,827.68 and 9,128.22

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Solution

The fourth proportional to 15,093.25, 20,827.68 and 9,128.22 is: 12,596.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,093.25 : 20,827.68 = 9,128.22 : x
  2. Step 2: Convert to fraction form
    15,093.25/20,827.68 = 9,128.22/x
  3. Step 3: Cross multiply
    15,093.25x = 20,827.68 × 9,128.22
  4. Step 4: Simplify right side
    15,093.25x = 190,119,645.13
  5. Step 5: Solve for x
    x = 190,119,645.13/15,093.25
  6. Step 6: Final answer
    x = 12,596.34

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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.