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Finding the Fourth Proportional to 21,745.64, 30,005.16 and 13,674.80

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Solution

The fourth proportional to 21,745.64, 30,005.16 and 13,674.80 is: 18,868.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,745.64 : 30,005.16 = 13,674.80 : x
  2. Step 2: Convert to fraction form
    21,745.64/30,005.16 = 13,674.80/x
  3. Step 3: Cross multiply
    21,745.64x = 30,005.16 × 13,674.80
  4. Step 4: Simplify right side
    21,745.64x = 410,314,561.97
  5. Step 5: Solve for x
    x = 410,314,561.97/21,745.64
  6. Step 6: Final answer
    x = 18,868.82

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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.