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Finding the Fourth Proportional to 12,451.84, 17,184.18 and 6,862.84

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Solution

The fourth proportional to 12,451.84, 17,184.18 and 6,862.84 is: 9,471.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,451.84 : 17,184.18 = 6,862.84 : x
  2. Step 2: Convert to fraction form
    12,451.84/17,184.18 = 6,862.84/x
  3. Step 3: Cross multiply
    12,451.84x = 17,184.18 × 6,862.84
  4. Step 4: Simplify right side
    12,451.84x = 117,932,277.87
  5. Step 5: Solve for x
    x = 117,932,277.87/12,451.84
  6. Step 6: Final answer
    x = 9,471.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.