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Finding the Fourth Proportional to 13,830.75, 20,754.63 and 7,261.65

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Solution

The fourth proportional to 13,830.75, 20,754.63 and 7,261.65 is: 10,896.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,830.75 : 20,754.63 = 7,261.65 : x
  2. Step 2: Convert to fraction form
    13,830.75/20,754.63 = 7,261.65/x
  3. Step 3: Cross multiply
    13,830.75x = 20,754.63 × 7,261.65
  4. Step 4: Simplify right side
    13,830.75x = 150,712,858.94
  5. Step 5: Solve for x
    x = 150,712,858.94/13,830.75
  6. Step 6: Final answer
    x = 10,896.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.