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Finding the Fourth Proportional to 13,143.12, 18,136.44 and 7,477.44

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Solution

The fourth proportional to 13,143.12, 18,136.44 and 7,477.44 is: 10,318.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,143.12 : 18,136.44 = 7,477.44 : x
  2. Step 2: Convert to fraction form
    13,143.12/18,136.44 = 7,477.44/x
  3. Step 3: Cross multiply
    13,143.12x = 18,136.44 × 7,477.44
  4. Step 4: Simplify right side
    13,143.12x = 135,614,141.91
  5. Step 5: Solve for x
    x = 135,614,141.91/13,143.12
  6. Step 6: Final answer
    x = 10,318.26

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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.