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Finding the Fourth Proportional to 15,104.42, 20,843.51 and 8,390.48

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Solution

The fourth proportional to 15,104.42, 20,843.51 and 8,390.48 is: 11,578.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,104.42 : 20,843.51 = 8,390.48 : x
  2. Step 2: Convert to fraction form
    15,104.42/20,843.51 = 8,390.48/x
  3. Step 3: Cross multiply
    15,104.42x = 20,843.51 × 8,390.48
  4. Step 4: Simplify right side
    15,104.42x = 174,886,907.61
  5. Step 5: Solve for x
    x = 174,886,907.61/15,104.42
  6. Step 6: Final answer
    x = 11,578.53

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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.