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Finding the Fourth Proportional to 17,819.76, 26,729.08 and 7,431.24

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Solution

The fourth proportional to 17,819.76, 26,729.08 and 7,431.24 is: 11,146.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,819.76 : 26,729.08 = 7,431.24 : x
  2. Step 2: Convert to fraction form
    17,819.76/26,729.08 = 7,431.24/x
  3. Step 3: Cross multiply
    17,819.76x = 26,729.08 × 7,431.24
  4. Step 4: Simplify right side
    17,819.76x = 198,630,208.46
  5. Step 5: Solve for x
    x = 198,630,208.46/17,819.76
  6. Step 6: Final answer
    x = 11,146.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.