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Finding the Fourth Proportional to 8,129.34, 12,194.01 and 1,973.34

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Solution

The fourth proportional to 8,129.34, 12,194.01 and 1,973.34 is: 2,960.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,129.34 : 12,194.01 = 1,973.34 : x
  2. Step 2: Convert to fraction form
    8,129.34/12,194.01 = 1,973.34/x
  3. Step 3: Cross multiply
    8,129.34x = 12,194.01 × 1,973.34
  4. Step 4: Simplify right side
    8,129.34x = 24,062,927.69
  5. Step 5: Solve for x
    x = 24,062,927.69/8,129.34
  6. Step 6: Final answer
    x = 2,960.01

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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.