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Finding the Fourth Proportional to 3,457.46, 5,187.08 and 992.46

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Solution

The fourth proportional to 3,457.46, 5,187.08 and 992.46 is: 1,488.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457.46 : 5,187.08 = 992.46 : x
  2. Step 2: Convert to fraction form
    3,457.46/5,187.08 = 992.46/x
  3. Step 3: Cross multiply
    3,457.46x = 5,187.08 × 992.46
  4. Step 4: Simplify right side
    3,457.46x = 5,147,969.42
  5. Step 5: Solve for x
    x = 5,147,969.42/3,457.46
  6. Step 6: Final answer
    x = 1,488.95

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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.