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Finding the Fourth Proportional to 12,800.94, 17,649.36 and 10,679.55

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Solution

The fourth proportional to 12,800.94, 17,649.36 and 10,679.55 is: 14,724.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,800.94 : 17,649.36 = 10,679.55 : x
  2. Step 2: Convert to fraction form
    12,800.94/17,649.36 = 10,679.55/x
  3. Step 3: Cross multiply
    12,800.94x = 17,649.36 × 10,679.55
  4. Step 4: Simplify right side
    12,800.94x = 188,487,222.59
  5. Step 5: Solve for x
    x = 188,487,222.59/12,800.94
  6. Step 6: Final answer
    x = 14,724.48

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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.