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Finding the Fourth Proportional to 15,833.12, 21,849.84 and 8,662.88

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Solution

The fourth proportional to 15,833.12, 21,849.84 and 8,662.88 is: 11,954.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,833.12 : 21,849.84 = 8,662.88 : x
  2. Step 2: Convert to fraction form
    15,833.12/21,849.84 = 8,662.88/x
  3. Step 3: Cross multiply
    15,833.12x = 21,849.84 × 8,662.88
  4. Step 4: Simplify right side
    15,833.12x = 189,282,541.94
  5. Step 5: Solve for x
    x = 189,282,541.94/15,833.12
  6. Step 6: Final answer
    x = 11,954.85

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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.