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Finding the Fourth Proportional to 12,615, 17,408.70 and 7,027.32

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Solution

The fourth proportional to 12,615, 17,408.70 and 7,027.32 is: 9,697.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,615 : 17,408.70 = 7,027.32 : x
  2. Step 2: Convert to fraction form
    12,615/17,408.70 = 7,027.32/x
  3. Step 3: Cross multiply
    12,615x = 17,408.70 × 7,027.32
  4. Step 4: Simplify right side
    12,615x = 122,336,505.68
  5. Step 5: Solve for x
    x = 122,336,505.68/12,615
  6. Step 6: Final answer
    x = 9,697.70

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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.