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Finding the Fourth Proportional to 3,066, 4,591.68 and 1,764.74

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Solution

The fourth proportional to 3,066, 4,591.68 and 1,764.74 is: 2,642.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,066 : 4,591.68 = 1,764.74 : x
  2. Step 2: Convert to fraction form
    3,066/4,591.68 = 1,764.74/x
  3. Step 3: Cross multiply
    3,066x = 4,591.68 × 1,764.74
  4. Step 4: Simplify right side
    3,066x = 8,103,098.40
  5. Step 5: Solve for x
    x = 8,103,098.40/3,066
  6. Step 6: Final answer
    x = 2,642.89

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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.