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Finding the Fourth Proportional to 9,892.43, 14,838.79 and 3,228.90

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Solution

The fourth proportional to 9,892.43, 14,838.79 and 3,228.90 is: 4,843.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,892.43 : 14,838.79 = 3,228.90 : x
  2. Step 2: Convert to fraction form
    9,892.43/14,838.79 = 3,228.90/x
  3. Step 3: Cross multiply
    9,892.43x = 14,838.79 × 3,228.90
  4. Step 4: Simplify right side
    9,892.43x = 47,912,969.03
  5. Step 5: Solve for x
    x = 47,912,969.03/9,892.43
  6. Step 6: Final answer
    x = 4,843.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.