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Finding the Fourth Proportional to 14,935.76, 20,611.84 and 8,221.88

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Solution

The fourth proportional to 14,935.76, 20,611.84 and 8,221.88 is: 11,346.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,935.76 : 20,611.84 = 8,221.88 : x
  2. Step 2: Convert to fraction form
    14,935.76/20,611.84 = 8,221.88/x
  3. Step 3: Cross multiply
    14,935.76x = 20,611.84 × 8,221.88
  4. Step 4: Simplify right side
    14,935.76x = 169,468,075.06
  5. Step 5: Solve for x
    x = 169,468,075.06/14,935.76
  6. Step 6: Final answer
    x = 11,346.46

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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.