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Finding the Fourth Proportional to 12,282.84, 16,958.06 and 8,705.38

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Solution

The fourth proportional to 12,282.84, 16,958.06 and 8,705.38 is: 12,018.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,282.84 : 16,958.06 = 8,705.38 : x
  2. Step 2: Convert to fraction form
    12,282.84/16,958.06 = 8,705.38/x
  3. Step 3: Cross multiply
    12,282.84x = 16,958.06 × 8,705.38
  4. Step 4: Simplify right side
    12,282.84x = 147,626,356.36
  5. Step 5: Solve for x
    x = 147,626,356.36/12,282.84
  6. Step 6: Final answer
    x = 12,018.91

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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.