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Finding the Fourth Proportional to 12,134, 16,745.10 and 7,417.28

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Solution

The fourth proportional to 12,134, 16,745.10 and 7,417.28 is: 10,235.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,134 : 16,745.10 = 7,417.28 : x
  2. Step 2: Convert to fraction form
    12,134/16,745.10 = 7,417.28/x
  3. Step 3: Cross multiply
    12,134x = 16,745.10 × 7,417.28
  4. Step 4: Simplify right side
    12,134x = 124,203,095.33
  5. Step 5: Solve for x
    x = 124,203,095.33/12,134
  6. Step 6: Final answer
    x = 10,235.96

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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.