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Finding the Fourth Proportional to 13,146.73, 18,142.47 and 8,431

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Solution

The fourth proportional to 13,146.73, 18,142.47 and 8,431 is: 11,634.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,146.73 : 18,142.47 = 8,431 : x
  2. Step 2: Convert to fraction form
    13,146.73/18,142.47 = 8,431/x
  3. Step 3: Cross multiply
    13,146.73x = 18,142.47 × 8,431
  4. Step 4: Simplify right side
    13,146.73x = 152,959,164.57
  5. Step 5: Solve for x
    x = 152,959,164.57/13,146.73
  6. Step 6: Final answer
    x = 11,634.77

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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.