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Finding the Fourth Proportional to 12,646.49, 17,452.21 and 6,981.29

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Solution

The fourth proportional to 12,646.49, 17,452.21 and 6,981.29 is: 9,634.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,646.49 : 17,452.21 = 6,981.29 : x
  2. Step 2: Convert to fraction form
    12,646.49/17,452.21 = 6,981.29/x
  3. Step 3: Cross multiply
    12,646.49x = 17,452.21 × 6,981.29
  4. Step 4: Simplify right side
    12,646.49x = 121,838,834.44
  5. Step 5: Solve for x
    x = 121,838,834.44/12,646.49
  6. Step 6: Final answer
    x = 9,634.20

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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.