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Finding the Fourth Proportional to 6,457, 9,685.62 and 1,840.12

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Solution

The fourth proportional to 6,457, 9,685.62 and 1,840.12 is: 2,760.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457 : 9,685.62 = 1,840.12 : x
  2. Step 2: Convert to fraction form
    6,457/9,685.62 = 1,840.12/x
  3. Step 3: Cross multiply
    6,457x = 9,685.62 × 1,840.12
  4. Step 4: Simplify right side
    6,457x = 17,822,703.07
  5. Step 5: Solve for x
    x = 17,822,703.07/6,457
  6. Step 6: Final answer
    x = 2,760.21

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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.