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Finding the Fourth Proportional to 3,457.64, 5,187.24 and 992.36

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Solution

The fourth proportional to 3,457.64, 5,187.24 and 992.36 is: 1,488.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457.64 : 5,187.24 = 992.36 : x
  2. Step 2: Convert to fraction form
    3,457.64/5,187.24 = 992.36/x
  3. Step 3: Cross multiply
    3,457.64x = 5,187.24 × 992.36
  4. Step 4: Simplify right side
    3,457.64x = 5,147,609.49
  5. Step 5: Solve for x
    x = 5,147,609.49/3,457.64
  6. Step 6: Final answer
    x = 1,488.76

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1.5x scale

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.