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Finding the Fourth Proportional to 12,857.67, 17,743.73 and 7,552.58

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Solution

The fourth proportional to 12,857.67, 17,743.73 and 7,552.58 is: 10,422.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,857.67 : 17,743.73 = 7,552.58 : x
  2. Step 2: Convert to fraction form
    12,857.67/17,743.73 = 7,552.58/x
  3. Step 3: Cross multiply
    12,857.67x = 17,743.73 × 7,552.58
  4. Step 4: Simplify right side
    12,857.67x = 134,010,813.84
  5. Step 5: Solve for x
    x = 134,010,813.84/12,857.67
  6. Step 6: Final answer
    x = 10,422.64

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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.