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Finding the Fourth Proportional to 6,411.40, 9,617.40 and 2,029.21

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Solution

The fourth proportional to 6,411.40, 9,617.40 and 2,029.21 is: 3,043.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,411.40 : 9,617.40 = 2,029.21 : x
  2. Step 2: Convert to fraction form
    6,411.40/9,617.40 = 2,029.21/x
  3. Step 3: Cross multiply
    6,411.40x = 9,617.40 × 2,029.21
  4. Step 4: Simplify right side
    6,411.40x = 19,515,724.25
  5. Step 5: Solve for x
    x = 19,515,724.25/6,411.40
  6. Step 6: Final answer
    x = 3,043.91

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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.