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Finding the Fourth Proportional to 22,275, 30,739.50 and 13,322.88

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Solution

The fourth proportional to 22,275, 30,739.50 and 13,322.88 is: 18,385.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,275 : 30,739.50 = 13,322.88 : x
  2. Step 2: Convert to fraction form
    22,275/30,739.50 = 13,322.88/x
  3. Step 3: Cross multiply
    22,275x = 30,739.50 × 13,322.88
  4. Step 4: Simplify right side
    22,275x = 409,538,669.76
  5. Step 5: Solve for x
    x = 409,538,669.76/22,275
  6. Step 6: Final answer
    x = 18,385.57

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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.