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Finding the Fourth Proportional to 4,603.81, 6,939.40 and 4,209.39

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Solution

The fourth proportional to 4,603.81, 6,939.40 and 4,209.39 is: 6,344.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,603.81 : 6,939.40 = 4,209.39 : x
  2. Step 2: Convert to fraction form
    4,603.81/6,939.40 = 4,209.39/x
  3. Step 3: Cross multiply
    4,603.81x = 6,939.40 × 4,209.39
  4. Step 4: Simplify right side
    4,603.81x = 29,210,640.97
  5. Step 5: Solve for x
    x = 29,210,640.97/4,603.81
  6. Step 6: Final answer
    x = 6,344.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.