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Finding the Fourth Proportional to 12,723.84, 17,562.24 and 7,136.64

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Solution

The fourth proportional to 12,723.84, 17,562.24 and 7,136.64 is: 9,850.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,723.84 : 17,562.24 = 7,136.64 : x
  2. Step 2: Convert to fraction form
    12,723.84/17,562.24 = 7,136.64/x
  3. Step 3: Cross multiply
    12,723.84x = 17,562.24 × 7,136.64
  4. Step 4: Simplify right side
    12,723.84x = 125,335,384.47
  5. Step 5: Solve for x
    x = 125,335,384.47/12,723.84
  6. Step 6: Final answer
    x = 9,850.44

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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.