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Finding the Fourth Proportional to 6,493, 8,960.36 and 4,134.64

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Solution

The fourth proportional to 6,493, 8,960.36 and 4,134.64 is: 5,705.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,493 : 8,960.36 = 4,134.64 : x
  2. Step 2: Convert to fraction form
    6,493/8,960.36 = 4,134.64/x
  3. Step 3: Cross multiply
    6,493x = 8,960.36 × 4,134.64
  4. Step 4: Simplify right side
    6,493x = 37,047,862.87
  5. Step 5: Solve for x
    x = 37,047,862.87/6,493
  6. Step 6: Final answer
    x = 5,705.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.