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Finding the Fourth Proportional to 3,457.45, 5,184.64 and 991.71

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Solution

The fourth proportional to 3,457.45, 5,184.64 and 991.71 is: 1,487.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457.45 : 5,184.64 = 991.71 : x
  2. Step 2: Convert to fraction form
    3,457.45/5,184.64 = 991.71/x
  3. Step 3: Cross multiply
    3,457.45x = 5,184.64 × 991.71
  4. Step 4: Simplify right side
    3,457.45x = 5,141,628.45
  5. Step 5: Solve for x
    x = 5,141,628.45/3,457.45
  6. Step 6: Final answer
    x = 1,487.12

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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.