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Finding the Fourth Proportional to 3,070.97, 4,606.49 and 762.47

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Solution

The fourth proportional to 3,070.97, 4,606.49 and 762.47 is: 1,143.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,070.97 : 4,606.49 = 762.47 : x
  2. Step 2: Convert to fraction form
    3,070.97/4,606.49 = 762.47/x
  3. Step 3: Cross multiply
    3,070.97x = 4,606.49 × 762.47
  4. Step 4: Simplify right side
    3,070.97x = 3,512,300.86
  5. Step 5: Solve for x
    x = 3,512,300.86/3,070.97
  6. Step 6: Final answer
    x = 1,143.71

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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.