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Finding the Fourth Proportional to 6,435.90, 9,643.05 and 3,141.90

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Solution

The fourth proportional to 6,435.90, 9,643.05 and 3,141.90 is: 4,707.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,435.90 : 9,643.05 = 3,141.90 : x
  2. Step 2: Convert to fraction form
    6,435.90/9,643.05 = 3,141.90/x
  3. Step 3: Cross multiply
    6,435.90x = 9,643.05 × 3,141.90
  4. Step 4: Simplify right side
    6,435.90x = 30,297,498.80
  5. Step 5: Solve for x
    x = 30,297,498.80/6,435.90
  6. Step 6: Final answer
    x = 4,707.58

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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.