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Finding the Fourth Proportional to 12,408.68, 17,104.07 and 9,715.36

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Solution

The fourth proportional to 12,408.68, 17,104.07 and 9,715.36 is: 13,391.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,408.68 : 17,104.07 = 9,715.36 : x
  2. Step 2: Convert to fraction form
    12,408.68/17,104.07 = 9,715.36/x
  3. Step 3: Cross multiply
    12,408.68x = 17,104.07 × 9,715.36
  4. Step 4: Simplify right side
    12,408.68x = 166,172,197.52
  5. Step 5: Solve for x
    x = 166,172,197.52/12,408.68
  6. Step 6: Final answer
    x = 13,391.61

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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.