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Finding the Fourth Proportional to 3,957.65, 5,457.94 and 3,397.94

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Solution

The fourth proportional to 3,957.65, 5,457.94 and 3,397.94 is: 4,686.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,957.65 : 5,457.94 = 3,397.94 : x
  2. Step 2: Convert to fraction form
    3,957.65/5,457.94 = 3,397.94/x
  3. Step 3: Cross multiply
    3,957.65x = 5,457.94 × 3,397.94
  4. Step 4: Simplify right side
    3,957.65x = 18,545,716.86
  5. Step 5: Solve for x
    x = 18,545,716.86/3,957.65
  6. Step 6: Final answer
    x = 4,686.05

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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.