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Finding the Fourth Proportional to 12,933.84, 17,855.16 and 8,464.42

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Solution

The fourth proportional to 12,933.84, 17,855.16 and 8,464.42 is: 11,685.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,933.84 : 17,855.16 = 8,464.42 : x
  2. Step 2: Convert to fraction form
    12,933.84/17,855.16 = 8,464.42/x
  3. Step 3: Cross multiply
    12,933.84x = 17,855.16 × 8,464.42
  4. Step 4: Simplify right side
    12,933.84x = 151,133,531.62
  5. Step 5: Solve for x
    x = 151,133,531.62/12,933.84
  6. Step 6: Final answer
    x = 11,685.12

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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.