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Finding the Fourth Proportional to 4,765.85, 7,148.77 and 1,991.01

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Solution

The fourth proportional to 4,765.85, 7,148.77 and 1,991.01 is: 2,986.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,765.85 : 7,148.77 = 1,991.01 : x
  2. Step 2: Convert to fraction form
    4,765.85/7,148.77 = 1,991.01/x
  3. Step 3: Cross multiply
    4,765.85x = 7,148.77 × 1,991.01
  4. Step 4: Simplify right side
    4,765.85x = 14,233,245.27
  5. Step 5: Solve for x
    x = 14,233,245.27/4,765.85
  6. Step 6: Final answer
    x = 2,986.51

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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.