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Finding the Fourth Proportional to 12,461.97, 17,187.80 and 7,986.14

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Solution

The fourth proportional to 12,461.97, 17,187.80 and 7,986.14 is: 11,014.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,461.97 : 17,187.80 = 7,986.14 : x
  2. Step 2: Convert to fraction form
    12,461.97/17,187.80 = 7,986.14/x
  3. Step 3: Cross multiply
    12,461.97x = 17,187.80 × 7,986.14
  4. Step 4: Simplify right side
    12,461.97x = 137,264,232.54
  5. Step 5: Solve for x
    x = 137,264,232.54/12,461.97
  6. Step 6: Final answer
    x = 11,014.65

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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.