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Finding the Fourth Proportional to 6,435.88, 9,655.10 and 2,738.08

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Solution

The fourth proportional to 6,435.88, 9,655.10 and 2,738.08 is: 4,107.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,435.88 : 9,655.10 = 2,738.08 : x
  2. Step 2: Convert to fraction form
    6,435.88/9,655.10 = 2,738.08/x
  3. Step 3: Cross multiply
    6,435.88x = 9,655.10 × 2,738.08
  4. Step 4: Simplify right side
    6,435.88x = 26,436,436.21
  5. Step 5: Solve for x
    x = 26,436,436.21/6,435.88
  6. Step 6: Final answer
    x = 4,107.66

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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.