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Finding the Fourth Proportional to 9,228.42, 13,892.49 and 8,424.90

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Solution

The fourth proportional to 9,228.42, 13,892.49 and 8,424.90 is: 12,682.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,228.42 : 13,892.49 = 8,424.90 : x
  2. Step 2: Convert to fraction form
    9,228.42/13,892.49 = 8,424.90/x
  3. Step 3: Cross multiply
    9,228.42x = 13,892.49 × 8,424.90
  4. Step 4: Simplify right side
    9,228.42x = 117,042,839.00
  5. Step 5: Solve for x
    x = 117,042,839.00/9,228.42
  6. Step 6: Final answer
    x = 12,682.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.