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Finding the Fourth Proportional to 12,175.97, 18,264.56 and 3,411.77

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Solution

The fourth proportional to 12,175.97, 18,264.56 and 3,411.77 is: 5,117.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,175.97 : 18,264.56 = 3,411.77 : x
  2. Step 2: Convert to fraction form
    12,175.97/18,264.56 = 3,411.77/x
  3. Step 3: Cross multiply
    12,175.97x = 18,264.56 × 3,411.77
  4. Step 4: Simplify right side
    12,175.97x = 62,314,369.49
  5. Step 5: Solve for x
    x = 62,314,369.49/12,175.97
  6. Step 6: Final answer
    x = 5,117.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.