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Finding the Fourth Proportional to 12,314.70, 16,982.75 and 9,805.10

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Solution

The fourth proportional to 12,314.70, 16,982.75 and 9,805.10 is: 13,521.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,314.70 : 16,982.75 = 9,805.10 : x
  2. Step 2: Convert to fraction form
    12,314.70/16,982.75 = 9,805.10/x
  3. Step 3: Cross multiply
    12,314.70x = 16,982.75 × 9,805.10
  4. Step 4: Simplify right side
    12,314.70x = 166,517,562.03
  5. Step 5: Solve for x
    x = 166,517,562.03/12,314.70
  6. Step 6: Final answer
    x = 13,521.85

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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.