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Finding the Fourth Proportional to 3,071.21, 4,606.77 and 762.71

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Solution

The fourth proportional to 3,071.21, 4,606.77 and 762.71 is: 1,144.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071.21 : 4,606.77 = 762.71 : x
  2. Step 2: Convert to fraction form
    3,071.21/4,606.77 = 762.71/x
  3. Step 3: Cross multiply
    3,071.21x = 4,606.77 × 762.71
  4. Step 4: Simplify right side
    3,071.21x = 3,513,629.55
  5. Step 5: Solve for x
    x = 3,513,629.55/3,071.21
  6. Step 6: Final answer
    x = 1,144.05

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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.