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Finding the Fourth Proportional to 15,797.94, 21,805.38 and 9,084.30

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Solution

The fourth proportional to 15,797.94, 21,805.38 and 9,084.30 is: 12,538.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,797.94 : 21,805.38 = 9,084.30 : x
  2. Step 2: Convert to fraction form
    15,797.94/21,805.38 = 9,084.30/x
  3. Step 3: Cross multiply
    15,797.94x = 21,805.38 × 9,084.30
  4. Step 4: Simplify right side
    15,797.94x = 198,086,613.53
  5. Step 5: Solve for x
    x = 198,086,613.53/15,797.94
  6. Step 6: Final answer
    x = 12,538.76

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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.