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Finding the Fourth Proportional to 3,071.45, 4,606.96 and 762.95

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Solution

The fourth proportional to 3,071.45, 4,606.96 and 762.95 is: 1,144.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071.45 : 4,606.96 = 762.95 : x
  2. Step 2: Convert to fraction form
    3,071.45/4,606.96 = 762.95/x
  3. Step 3: Cross multiply
    3,071.45x = 4,606.96 × 762.95
  4. Step 4: Simplify right side
    3,071.45x = 3,514,880.13
  5. Step 5: Solve for x
    x = 3,514,880.13/3,071.45
  6. Step 6: Final answer
    x = 1,144.37

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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.