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Finding the Fourth Proportional to 12,716.16, 17,546.64 and 7,411.92

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Solution

The fourth proportional to 12,716.16, 17,546.64 and 7,411.92 is: 10,227.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,716.16 : 17,546.64 = 7,411.92 : x
  2. Step 2: Convert to fraction form
    12,716.16/17,546.64 = 7,411.92/x
  3. Step 3: Cross multiply
    12,716.16x = 17,546.64 × 7,411.92
  4. Step 4: Simplify right side
    12,716.16x = 130,054,291.95
  5. Step 5: Solve for x
    x = 130,054,291.95/12,716.16
  6. Step 6: Final answer
    x = 10,227.48

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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.