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Finding the Fourth Proportional to 12,314.50, 18,471.75 and 3,080.50

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Solution

The fourth proportional to 12,314.50, 18,471.75 and 3,080.50 is: 4,620.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,314.50 : 18,471.75 = 3,080.50 : x
  2. Step 2: Convert to fraction form
    12,314.50/18,471.75 = 3,080.50/x
  3. Step 3: Cross multiply
    12,314.50x = 18,471.75 × 3,080.50
  4. Step 4: Simplify right side
    12,314.50x = 56,902,225.88
  5. Step 5: Solve for x
    x = 56,902,225.88/12,314.50
  6. Step 6: Final answer
    x = 4,620.75

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Double scale
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Similar ratio
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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.