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Finding the Fourth Proportional to 13,573.80, 18,728.28 and 8,271

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Solution

The fourth proportional to 13,573.80, 18,728.28 and 8,271 is: 11,411.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,573.80 : 18,728.28 = 8,271 : x
  2. Step 2: Convert to fraction form
    13,573.80/18,728.28 = 8,271/x
  3. Step 3: Cross multiply
    13,573.80x = 18,728.28 × 8,271
  4. Step 4: Simplify right side
    13,573.80x = 154,901,603.88
  5. Step 5: Solve for x
    x = 154,901,603.88/13,573.80
  6. Step 6: Final answer
    x = 11,411.81

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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.