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Finding the Fourth Proportional to 15,194.08, 20,965.30 and 10,150.20

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Solution

The fourth proportional to 15,194.08, 20,965.30 and 10,150.20 is: 14,005.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,194.08 : 20,965.30 = 10,150.20 : x
  2. Step 2: Convert to fraction form
    15,194.08/20,965.30 = 10,150.20/x
  3. Step 3: Cross multiply
    15,194.08x = 20,965.30 × 10,150.20
  4. Step 4: Simplify right side
    15,194.08x = 212,801,988.06
  5. Step 5: Solve for x
    x = 212,801,988.06/15,194.08
  6. Step 6: Final answer
    x = 14,005.59

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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.