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Finding the Fourth Proportional to 6,457, 9,685.86 and 1,840.36

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Solution

The fourth proportional to 6,457, 9,685.86 and 1,840.36 is: 2,760.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457 : 9,685.86 = 1,840.36 : x
  2. Step 2: Convert to fraction form
    6,457/9,685.86 = 1,840.36/x
  3. Step 3: Cross multiply
    6,457x = 9,685.86 × 1,840.36
  4. Step 4: Simplify right side
    6,457x = 17,825,469.31
  5. Step 5: Solve for x
    x = 17,825,469.31/6,457
  6. Step 6: Final answer
    x = 2,760.64

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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.