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Finding the Fourth Proportional to 15,797.52, 21,801 and 9,084.42

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Solution

The fourth proportional to 15,797.52, 21,801 and 9,084.42 is: 12,536.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,797.52 : 21,801 = 9,084.42 : x
  2. Step 2: Convert to fraction form
    15,797.52/21,801 = 9,084.42/x
  3. Step 3: Cross multiply
    15,797.52x = 21,801 × 9,084.42
  4. Step 4: Simplify right side
    15,797.52x = 198,049,440.42
  5. Step 5: Solve for x
    x = 198,049,440.42/15,797.52
  6. Step 6: Final answer
    x = 12,536.74

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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.