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Finding the Fourth Proportional to 3,970.13, 5,913.25 and 3,761.96

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Solution

The fourth proportional to 3,970.13, 5,913.25 and 3,761.96 is: 5,603.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,970.13 : 5,913.25 = 3,761.96 : x
  2. Step 2: Convert to fraction form
    3,970.13/5,913.25 = 3,761.96/x
  3. Step 3: Cross multiply
    3,970.13x = 5,913.25 × 3,761.96
  4. Step 4: Simplify right side
    3,970.13x = 22,245,371.00
  5. Step 5: Solve for x
    x = 22,245,371.00/3,970.13
  6. Step 6: Final answer
    x = 5,603.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.