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Finding the Fourth Proportional to 3,457.71, 5,205.02 and 3,100.50

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Solution

The fourth proportional to 3,457.71, 5,205.02 and 3,100.50 is: 4,667.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457.71 : 5,205.02 = 3,100.50 : x
  2. Step 2: Convert to fraction form
    3,457.71/5,205.02 = 3,100.50/x
  3. Step 3: Cross multiply
    3,457.71x = 5,205.02 × 3,100.50
  4. Step 4: Simplify right side
    3,457.71x = 16,138,149.01
  5. Step 5: Solve for x
    x = 16,138,149.01/3,457.71
  6. Step 6: Final answer
    x = 4,667.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.