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Finding the Fourth Proportional to 5,783.40, 7,979.15 and 3,765.90

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Solution

The fourth proportional to 5,783.40, 7,979.15 and 3,765.90 is: 5,195.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,783.40 : 7,979.15 = 3,765.90 : x
  2. Step 2: Convert to fraction form
    5,783.40/7,979.15 = 3,765.90/x
  3. Step 3: Cross multiply
    5,783.40x = 7,979.15 × 3,765.90
  4. Step 4: Simplify right side
    5,783.40x = 30,048,680.99
  5. Step 5: Solve for x
    x = 30,048,680.99/5,783.40
  6. Step 6: Final answer
    x = 5,195.68

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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.