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Finding the Fourth Proportional to 12,851.09, 17,734.14 and 7,185.85

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Solution

The fourth proportional to 12,851.09, 17,734.14 and 7,185.85 is: 9,916.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,851.09 : 17,734.14 = 7,185.85 : x
  2. Step 2: Convert to fraction form
    12,851.09/17,734.14 = 7,185.85/x
  3. Step 3: Cross multiply
    12,851.09x = 17,734.14 × 7,185.85
  4. Step 4: Simplify right side
    12,851.09x = 127,434,825.58
  5. Step 5: Solve for x
    x = 127,434,825.58/12,851.09
  6. Step 6: Final answer
    x = 9,916.27

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1.5x scale

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.