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Finding the Fourth Proportional to 12,850.99, 17,732.49 and 7,547.51

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Solution

The fourth proportional to 12,850.99, 17,732.49 and 7,547.51 is: 10,414.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,850.99 : 17,732.49 = 7,547.51 : x
  2. Step 2: Convert to fraction form
    12,850.99/17,732.49 = 7,547.51/x
  3. Step 3: Cross multiply
    12,850.99x = 17,732.49 × 7,547.51
  4. Step 4: Simplify right side
    12,850.99x = 133,836,161.63
  5. Step 5: Solve for x
    x = 133,836,161.63/12,850.99
  6. Step 6: Final answer
    x = 10,414.47

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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.