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Finding the Fourth Proportional to 13,142.73, 18,136.95 and 8,427

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Solution

The fourth proportional to 13,142.73, 18,136.95 and 8,427 is: 11,629.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,142.73 : 18,136.95 = 8,427 : x
  2. Step 2: Convert to fraction form
    13,142.73/18,136.95 = 8,427/x
  3. Step 3: Cross multiply
    13,142.73x = 18,136.95 × 8,427
  4. Step 4: Simplify right side
    13,142.73x = 152,840,077.65
  5. Step 5: Solve for x
    x = 152,840,077.65/13,142.73
  6. Step 6: Final answer
    x = 11,629.25

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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.