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Finding the Fourth Proportional to 12,408.48, 17,125.08 and 7,104

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Solution

The fourth proportional to 12,408.48, 17,125.08 and 7,104 is: 9,804.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,408.48 : 17,125.08 = 7,104 : x
  2. Step 2: Convert to fraction form
    12,408.48/17,125.08 = 7,104/x
  3. Step 3: Cross multiply
    12,408.48x = 17,125.08 × 7,104
  4. Step 4: Simplify right side
    12,408.48x = 121,656,568.32
  5. Step 5: Solve for x
    x = 121,656,568.32/12,408.48
  6. Step 6: Final answer
    x = 9,804.31

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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.