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Finding the Fourth Proportional to 12,371.45, 17,072.51 and 6,782.45

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Solution

The fourth proportional to 12,371.45, 17,072.51 and 6,782.45 is: 9,359.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,371.45 : 17,072.51 = 6,782.45 : x
  2. Step 2: Convert to fraction form
    12,371.45/17,072.51 = 6,782.45/x
  3. Step 3: Cross multiply
    12,371.45x = 17,072.51 × 6,782.45
  4. Step 4: Simplify right side
    12,371.45x = 115,793,326.17
  5. Step 5: Solve for x
    x = 115,793,326.17/12,371.45
  6. Step 6: Final answer
    x = 9,359.73

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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.