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Finding the Fourth Proportional to 3,077.97, 4,615.90 and 997.41

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Solution

The fourth proportional to 3,077.97, 4,615.90 and 997.41 is: 1,495.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,077.97 : 4,615.90 = 997.41 : x
  2. Step 2: Convert to fraction form
    3,077.97/4,615.90 = 997.41/x
  3. Step 3: Cross multiply
    3,077.97x = 4,615.90 × 997.41
  4. Step 4: Simplify right side
    3,077.97x = 4,603,944.82
  5. Step 5: Solve for x
    x = 4,603,944.82/3,077.97
  6. Step 6: Final answer
    x = 1,495.77

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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.