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Finding the Fourth Proportional to 30,494.68, 42,069.68 and 21,549.85

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Solution

The fourth proportional to 30,494.68, 42,069.68 and 21,549.85 is: 29,729.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,494.68 : 42,069.68 = 21,549.85 : x
  2. Step 2: Convert to fraction form
    30,494.68/42,069.68 = 21,549.85/x
  3. Step 3: Cross multiply
    30,494.68x = 42,069.68 × 21,549.85
  4. Step 4: Simplify right side
    30,494.68x = 906,595,161.44
  5. Step 5: Solve for x
    x = 906,595,161.44/30,494.68
  6. Step 6: Final answer
    x = 29,729.62

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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.