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Finding the Fourth Proportional to 12,851.87, 17,731.53 and 7,185.78

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Solution

The fourth proportional to 12,851.87, 17,731.53 and 7,185.78 is: 9,914.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,851.87 : 17,731.53 = 7,185.78 : x
  2. Step 2: Convert to fraction form
    12,851.87/17,731.53 = 7,185.78/x
  3. Step 3: Cross multiply
    12,851.87x = 17,731.53 × 7,185.78
  4. Step 4: Simplify right side
    12,851.87x = 127,414,873.64
  5. Step 5: Solve for x
    x = 127,414,873.64/12,851.87
  6. Step 6: Final answer
    x = 9,914.12

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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.