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Finding the Fourth Proportional to 4,640.29, 6,947.88 and 3,398.29

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Solution

The fourth proportional to 4,640.29, 6,947.88 and 3,398.29 is: 5,088.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,640.29 : 6,947.88 = 3,398.29 : x
  2. Step 2: Convert to fraction form
    4,640.29/6,947.88 = 3,398.29/x
  3. Step 3: Cross multiply
    4,640.29x = 6,947.88 × 3,398.29
  4. Step 4: Simplify right side
    4,640.29x = 23,610,911.13
  5. Step 5: Solve for x
    x = 23,610,911.13/4,640.29
  6. Step 6: Final answer
    x = 5,088.24

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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.