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Finding the Fourth Proportional to 5,189.96, 7,784.94 and 1,294.37

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Solution

The fourth proportional to 5,189.96, 7,784.94 and 1,294.37 is: 1,941.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,189.96 : 7,784.94 = 1,294.37 : x
  2. Step 2: Convert to fraction form
    5,189.96/7,784.94 = 1,294.37/x
  3. Step 3: Cross multiply
    5,189.96x = 7,784.94 × 1,294.37
  4. Step 4: Simplify right side
    5,189.96x = 10,076,553.86
  5. Step 5: Solve for x
    x = 10,076,553.86/5,189.96
  6. Step 6: Final answer
    x = 1,941.55

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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.