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Finding the Fourth Proportional to 12,819.24, 17,690.94 and 7,716.24

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Solution

The fourth proportional to 12,819.24, 17,690.94 and 7,716.24 is: 10,648.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,819.24 : 17,690.94 = 7,716.24 : x
  2. Step 2: Convert to fraction form
    12,819.24/17,690.94 = 7,716.24/x
  3. Step 3: Cross multiply
    12,819.24x = 17,690.94 × 7,716.24
  4. Step 4: Simplify right side
    12,819.24x = 136,507,538.87
  5. Step 5: Solve for x
    x = 136,507,538.87/12,819.24
  6. Step 6: Final answer
    x = 10,648.65

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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.