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Finding the Fourth Proportional to 8,136.63, 12,204.94 and 1,980.63

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Solution

The fourth proportional to 8,136.63, 12,204.94 and 1,980.63 is: 2,970.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,136.63 : 12,204.94 = 1,980.63 : x
  2. Step 2: Convert to fraction form
    8,136.63/12,204.94 = 1,980.63/x
  3. Step 3: Cross multiply
    8,136.63x = 12,204.94 × 1,980.63
  4. Step 4: Simplify right side
    8,136.63x = 24,173,409.29
  5. Step 5: Solve for x
    x = 24,173,409.29/8,136.63
  6. Step 6: Final answer
    x = 2,970.94

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Half scale
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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.